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Unit 9 - Statistics

Total questions: 253

Worksheet time: 10hrs 0mins

Name
Class
Date
1.

What is another word for mean?

a)

median

b)

average

c)

mode

d)

sum

e)

quotient

2.

What is the mode?

a)

the number that occurs the most in a data set

b)

the middle number in the data

c)

the average of all the numbers

d)

the range of the data

3.

What's another word for median?

a)

average

b)

mode

c)

middle

d)

mean

4.

What is the mean of the data below?

1 , 5 , 10 , 11 , 20

a)

10

b)

9.4

c)

19

d)

9.1

5.

What is the median of the data below?

20 , 3 , 17 , 1 , 5

a)

5

b)

17

c)

19

d)

9.2

6.

What is the mode of the data below?

12 , 14 , 5 , 12 , 5 , 12 , 11

a)

5

b)

12

c)

5 and 12

d)

11.8

7.

In the first round of the playoffs, Ben Simmons points (in each game) was listed below. How many points per game is he averaging in the playoffs?

17 , 24 , 19 , 17 , 14

a)

16.8

b)

17.8

c)

17

d)

18.2

8.

In the data set below, which number is an outlier?

45 , 40 , 39 , 43 , 38 , 97 , 37

a)

37

b)

97

c)

43

d)

45

9.

In the data set below, which measure of center would best describe the data?

0 , 1 , 0 , 14 , 1 , 0 , 0 , 0 , 0 , 2 , 0 , 0 , 0

a)

the median

b)

the mode

c)

the mean

d)

this answer is impossible to know

10.
At Dominique's Donuts the number of donut holes in a bag can vary. Help Dominique find the mode.
12,10,10,10,13,12,11,13,10
a)
13
b)
12
c)
11
d)
10
11.
What is the mode?
a)
# happening the most
b)
the average
c)
biggest - smallest
d)
the middle #
12.
Find the mean of these numbers:
5,11,2,12,4,2
a)
4.1
b)
6
c)
4.5
d)
4
13.
Find the median of these numbers:
4,2,7,4,3
a)
2
b)
5
c)
7
d)
4
14.
Find the mean of these numbers:
2, 57, 38, 42, 6
a)
29
b)
38
c)
50
d)
145
15.
To find the mean of a set of numbers, add up all the items and divide by...
a)
2
b)
The minimum
c)
The maximum
d)
The number of items
16.
In order to find the median, the data must be sorted from least to greatest first.
a)
True
b)
False
17.
What is the range?
a)
average
b)
biggest-smallest
c)
the middle #
d)
# happening the most
18.
Find the median.
12, 5, 9, 18, 22, 25, 5
a)
9
b)
8
c)
12
d)
18
19.
Find the mean.
90, 100, 95, 85, 60, 80
a)
85
b)
84
c)
86
d)
90
20.
The number of miles that Jenna cycled each week for a 7-week period is shown: 
36, 42, 28, 52, 48, 36, 31 
What is the median number of miles Jenna cycled?
a)
24
b)
36
c)
39
d)
52
21.
The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below: 
9, 8, 12, 6, 10
What is the mean number of pages she wrote per day?
a)
5
b)
6
c)
9
d)
11
22.
To find the _________ you add up all the numbers and then divide by how many numbers you have.
a)
Mean
b)
Median
c)
Mode
d)
Range
23.
The masses of six children are 34.5 kilograms, 42.6 kilograms, 39.8 kilograms, 40.1 kilograms, 53.4 kilograms, and 33.8 kilograms. Find the mean mass.
a)
40.7 kg
b)
40
c)
41
d)
50
24.
The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below: 
9, 8, 12, 6, 10
What is the mean number of pages she wrote per day?
a)
5
b)
6
c)
9
d)
11
25.
The number of miles that Jenna cycled each week for a 7-week period is shown: 
36, 42, 28, 52, 48, 36, 31 
What is the median number of miles Jenna cycled?
a)
24
b)
36
c)
39
d)
52
26.
Which of the following is a measure of variability?
a)
mean
b)
median
c)
mode
d)
standard deviation
27.
All of the below sets have the same mean.
Set 1-Standard Deviation=3.1
Set 2-Standard Deviation=4.9
Set 3-Standard Deviation=1.7
Set 4-Standard Deviation=3.2
Which set of data probably has the points closest to the mean?
a)
1
b)
2
c)
3
d)
4
28.
This data is normally distributed.  What percent of the data is in the shaded region?
a)
68%
b)
95%
c)
99.7%
d)
50%
29.
Four data sets are shown below.
Set 1: {10, 19, 38, 50, 51}
Set 2: {5, 21, 26, 39, 51}
Set 3: {9, 38, 50, 50, 51}
Set 4: {5, 28, 28, 28, 51}
Which data set has the largest standard deviation?
a)
Set 1
b)
Set 2
c)
Set 3
d)
Set 4
30.
If the standard deviation of a data set is 4, what is the variance?
a)
2
b)
16
c)
4
31.

Ervin bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the sample standard deviation of Ervin's scores?

a)

511.33

b)

22.61

c)

438.48

d)

20.94

32.

In a population of five university students with GPAs of 2.5, 2.3, 1.7, 1.4, and 1.1, a sample of three students are considered. What would be the standard deviation of the resulting sampling distribution?

a)

0.53

b)

0.41

c)

0.35

d)

0.22

33.

What is the standard deviation for the data given:

5, 10, 7, 12, 0, 20, 15, 22, 8, 2

a)

6.89

b)

10.1

c)

7.26

d)

9

34.

What does this symbol represent?

a)

Standard Deviation

b)

Variance

c)

Mean Absolute Deviation

d)

Sigma

35.
Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Roger's scores?
a)
193
b)
127
c)
60
d)
66
36.

What is the standard deviation for the data given:

{12, 13, 29, 18, 61, 35, 21}

a)

293.67

b)

15.87

c)

17.14

d)

41.98

37.
Find the mean of these numbers:
5,11,2,12,4,2
a)
4.1
b)
6
c)
4.5
d)
4
38.
What is the mode?
a)
# happening the most
b)
the average
c)
biggest - smallest
d)
the middle #
39.
What is the mean?
a)
# happening the most
b)
the number in the middle
c)
biggest-smallest
d)
the average
40.
What is the range?
a)
average
b)
biggest-smallest
c)
the middle #
d)
# happening the most
41.
What is the median?
a)
biggest- smallest
b)
average
c)
the middle #
d)
# that happens the most
42.
All of the below sets have the same mean.
Set 1-Standard Deviation=3.1
Set 2-Standard Deviation=4.9
Set 3-Standard Deviation=1.7
Set 4-Standard Deviation=3.2
Which set of data probably has the points closest to the mean?
a)
1
b)
2
c)
3
d)
4
43.
This data is normally distributed.  What percent of the data is in the shaded region?
a)
68%
b)
95%
c)
99.7%
d)
50%
44.

The term "snowstorms of note" applies to all snowfalls over 6 inches. The snowfall amounts for

snowstorms of note in Utica, New York, over a four-year period are as follows: 7.1, 9.2, 8.0, 6.1,

14.4, 8.5, 6.1, 6.8, 7.7, 21.5, 6.7, 9.0, 8.4, 7.0, 11.5, 14.1, 9.5, 8.6

What are the mean and population standard deviation for these data, to the nearest hundredth?

a)

mean = 9.46; standard deviation = 3.74

b)

mean = 9.46; standard deviation = 3.85

c)

mean = 9.45; standard deviation = 3.74

d)

mean = 9.45; standard deviation = 3.85

45.
Four data sets are shown below.
Set 1: {10, 19, 38, 50, 51}
Set 2: {5, 21, 26, 39, 51}
Set 3: {9, 38, 50, 50, 51}
Set 4: {5, 28, 28, 28, 51}
Which data set has the largest standard deviation?
a)
Set 1
b)
Set 2
c)
Set 3
d)
Set 4
46.
What is the variance for the data given:
5, 10, 7, 12, 0, 20, 15, 22, 8, 2
a)
47.47
b)
102.01
c)
52.77
d)
81
47.

In a population of five university students with GPAs of 2.5, 2.3, 1.7, 1.4, and 1.1, a sample of three students are considered. What would be the standard deviation of the resulting sampling distribution?

a)

0.59

b)

0.41

c)

0.35

d)

0.22

48.
What is the standard deviation for the data given:
{12, 13, 29, 18, 61, 35, 21}
a)
293.67
b)
15.87
c)
17.14
d)
41.98
49.

Given a variance of 64, what is the standard deviation?

a)

8

b)

4096

c)

0

d)

6.8

50.
the square of this value will give the variance
a)
standard deviation
b)
variance
c)
mean
d)
median
51.

How do you find the median of a data set that has two middle numbers?

a)

You pick the higher middle number

b)

You pick the lower middle number

c)

Add the two middle numbers and divide it by 2

d)

Subtract the two middle numbers and divide by 2

52.

Which measure of central tendency would best represent this data?

a)

Mean

b)

Median

c)

Mode

d)

Range

53.
What does this symbol represent?
a)
Standard Deviation
b)
Variance
c)
Mean Absolute Deviation
d)
Sigma
54.

Which of the following is a measure of spread, or variability?

(select all that apply)

a)

Interquartile Range

b)

Standard Deviation

c)

Mean

d)

Median

e)

Range

55.

What does standard deviation represent?

a)

How many different variations are in the data set.

b)

How the population varies compared to the sample.

c)

How spread out each data value is from the mean.

d)

The range, but with a bunch of other stuff going on.

56.

Four data sets are shown below.

Set 1: {10, 19, 38, 50, 51}

Set 2: {5, 21, 26, 39, 51}

Set 3: {9, 38, 50, 50, 51}

Set 4: {5, 28, 28, 28, 51}

Which data set has the largest standard deviation?

use https://technology.cpm.org/general/stats/

a)
Set 1
b)
Set 2
c)
Set 3
d)
Set 4
57.
All of the below sets have the same mean.
Set 1-Standard Deviation=3.1
Set 2-Standard Deviation=4.9
Set 3-Standard Deviation=1.7
Set 4-Standard Deviation=3.2
Which set of data probably has the points closest to the mean?
a)
1
b)
2
c)
3
d)
4
58.

All of the below sets have the same mean.

Set 1-Standard Deviation=3.1

Set 2-Standard Deviation=4.9

Set 3-Standard Deviation=1.7

Set 4-Standard Deviation=3.2

Which set of data probably has the points furthest to the mean?

a)
1
b)
2
c)
3
d)
4
59.

Sylvia believes that the students in Term 2 had a higher average number of minutes of exercise than Term 1 because the IQR and Standard Deviation is higher for that group of students. Do you agree?

a)

Sylvia is correct. Since the standard deviation and IQR for Term 2 students is higher, this means that students spent more time exercising, on average, than Term 1.

b)

Sylvia is incorrect. The standard deviation and the IQR shows that there is greater variability in the amount of time exercising for Term 2 students compared to Term 1, but it does not tell us that the group spent more time exercising than Term 1.

60.

The table on the right shows the statistics for the number of hours of homework per night during Term 1 and Term 2 for a group of students. What must be true?

a)

Term 1 students spent less time on homework than Term 2, but there was more variation in the number of hours spent on the homework.

b)

Term 2 students spent less time on homework than Term 1, but there was more variation in the number of hours spent on the homework.

c)

Term 1 students spent less time on homework than Term 2, but there was less variation in the number of hours spent on the homework.

d)

Term 2 students spent less time on homework than Term 1, but there was less variation in the number of hours spent on the homework.

61.

The chart on the left shows the statistics on test scores in period 1 and period 5. Which is true?

a)

The average test score is higher for period 5, but the data is more spread out.

b)

The average test score is higher for period 1, but the data is more spread out.

c)

The average test score is higher for period 5, and the data is more consistent (closer to the mean) than period 1.

d)

The average test score is higher for period 1, and the data is more consistent (closer to the mean) than period 5.

62.

The ages of the employees at Company A tend to be closer together, than those at Company B.

a)

True

b)

False

63.

The ages of the employees at which company tend to be lower than the other?

a)

Company A

b)

Company B

64.
If a bowler needs to hit exactly 6 pins, which bowler is more reliable to hit that number?
a)
Bowler A
b)
Bowler B
c)
Both
d)
Neither
65.
If a ball needs to be hit exactly 300 ft, which batter is more reliable to hit that distance?
a)
Batter A
b)
Batter B
c)
Both
d)
Neither
66.
If the two batters each hit 10 balls, which batter probably hit the farthest ball and the shortest ball? 
a)
Batter A
b)
Batter B
c)
Both
d)
Neither
67.

What does a standard deviation of 0 mean?

a)

There is no spread of data

b)

The spread of data is close to the mean

c)

The data is more spread out from the mean

d)

There is no mean

68.
In a factory, the weight of the concrete poured into a mold by a machine follows a normal distribution with a mean of 1150 pounds and a standard deviation of 22 pounds. Approximately 95% of molds filled by this machine will hold weights in what interval? 
a)
1084 to 1216 pounds 
b)
1106 to 1150 pounds 
c)
1106 to 1194 pounds 
d)
1128 to 1172 pounds
69.
The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 68% of all tires will have a life between ___________ km and __________ km.
a)
 28,000 km and 32,000 km.
b)
24,000 km and 34,000 km.
c)
26,000 km and 34,000 km.
d)
27,000 km and 31,000 km.
70.
Which interval shows 95% of the data given a mean of 15 and a standard deviation of 3? 
a)
9 to 21
b)
12 to 18
c)
6 to 24
d)
13 to 16
71.
Which interval shows 68% of the data given a mean of 15 and a standard deviation of 3? 
a)
9 to 21
b)
12 to 18
c)
6 to 24
d)
13 to 16
72.

Which interval shows 99.7% of the data given a mean of 15 and a standard deviation of 3?

a)

9 to 21

b)

12 to 18

c)

6 to 24

d)

13 to 16

73.

What percent of people within 3 standard deviations of the mean?

a)

99.7

b)

34

c)

68

d)

95

74.

What percent of people within 2 standard deviations of the mean?

a)

99.7

b)

34

c)

68

d)

95

75.

What percent of people within 1 standard deviation of the mean?

a)

99.7

b)

34

c)

68

d)

95

76.
What shape is a normal distribution curve?
a)
Half curve
b)
Round curve
c)
Bell curve
d)
Square curve
77.
According to the empirical rule, what percentage of data falls within 1 standard deviation? 
a)
25%
b)
68%
c)
95%
d)
99.7%
78.
According to the empirical rule, how much of the data falls within 3 standard deviations? 
a)
25%
b)
68%
c)
95%
d)
99.7%
79.

Which of the following is a disadvantage of the Empirical Rule?

a)

There is no result for 3 standard deviations.

b)

It is very conservative.

c)

There is no result for 1 standard deviation.

d)

The data has to be approximately normal.

80.

When labeling the axis for a normal distribution curve, the notation σ\sigma  is used to represent standard deviation. What is this Greek letter  σ\sigma  called?

a)

Omega

b)

Delta

c)

Lowercase Sigma

d)

Lowercase Omega

81.
In a factory, the weight of the concrete poured into a mold by a machine follows a normal distribution with a mean of 1150 pounds and a standard deviation of 22 pounds. Approximately 95% of molds filled by this machine will hold weights in what interval? 
a)
1084 to 1216 pounds 
b)
1106 to 1150 pounds 
c)
1106 to 1194 pounds 
d)
1128 to 1172 pounds
82.
At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What percentage of students at the high school have a GPA between 2.3 and 3.5?
a)
68%
b)
99.7%
c)
95%
d)
84%
83.
The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 68% of all tires will have a life between ___________ km and __________ km.
a)
 28,000 km and 32,000 km.
b)
24,000 km and 34,000 km.
c)
26,000 km and 34,000 km.
d)
27,000 km and 31,000 km.
84.
The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last between 12 and 15 days?
a)
68%
b)
34%
c)
16%
d)
2.5%
85.

Use the following information and the Empirical Rule to estimate the answer.


The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.


Find the proportion of golfers that are between 30 and 46 years old.

a)

68%

b)

94%

c)

95%

d)

99.7%

86.

Use the following information and the Empirical Rule to estimate the answer.


The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.


Find the proportion of golfers that are older than 42.

a)

13.5%

b)

16%

c)

50%

d)

85%

87.

Use the following information and the Empirical Rule to estimate the answer.


The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.


There are 500 golf members at the Mathy Country Club. How many are younger than 34?

a)

16

b)

80

c)

100

d)

150

88.
At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What percentage of students at the high school have a GPA between 2.3 and 3.5?
a)
68%
b)
99.7%
c)
95%
d)
84%
89.
The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 68% of all tires will have a life between ___________ km and __________ km.
a)
 28,000 km and 32,000 km.
b)
24,000 km and 34,000 km.
c)
26,000 km and 34,000 km.
d)
27,000 km and 31,000 km.
90.
The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last between 12 and 15 days?
a)
68%
b)
34%
c)
16%
d)
2.5%
91.
Which interval shows 95% of the data given a mean of 15 and a standard deviation of 3? 
a)
9 to 21
b)
12 to 18
c)
6 to 24
d)
13 to 16
92.
Which interval shows 99.7% of the data given a mean of 15 and a standard deviation of 3? 
a)
9 to 21
b)
12 to 18
c)
6 to 24
d)
13 to 16
93.
Which interval shows 68% of the data given a mean of 15 and a standard deviation of 3? 
a)
9 to 21
b)
12 to 18
c)
6 to 24
d)
13 to 16
94.

What is the percentage of data that falls within three standard deviations of the mean?

a)

99.7%

b)

98.7%

c)

95%

d)

100%

95.

What is the percentage of data that falls within two standard deviations of the mean?

a)

68%

b)

99.7%

c)

95%

d)

98%

96.

What is the percentage of data that falls within one standard deviation of the mean?

a)

67%

b)

65%

c)

72%

d)

68%

97.

The Empirical (68-95-99.7) Rule can be applied only if data is ....

a)

Normally Distributed

b)

Uniform

c)

Skewed

d)

Symmetric

98.

Use the following information and the Empirical Rule to estimate the answer.


The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.


Find the proportion of golfers that are between 30 and 46 years old.

a)

68%

b)

94%

c)

95%

d)

99.7%

99.

The Empirical Rule's percents are:

a)

68-95.7-99

b)

68-95-99.7

c)

68.7-95-99

100.
What shape is a normal distribution curve?
a)
Half curve
b)
Round curve
c)
Bell curve
d)
Square curve
101.
What is the the total area under the standard normal distribution curve?
a)
100
b)
25
c)
.5
d)
1
102.
According to the empirical rule, what percentage of data falls within 1 standard deviation? 
a)
25%
b)
68%
c)
95%
d)
99.7%
103.
According to the empirical rule, how much of the data falls within 3 standard deviations? 
a)
25%
b)
68%
c)
95%
d)
99.7%
104.
1.  Which best describes the shaded part of this normal distribution graph?  
a)
All data that is one or higher.
b)
All data that is one or more standard deviations above the mean.
c)
All data that is between 1 and 3.
d)
All data that is above the mean.
105.
What is the Normal Range (68%) of the annual precipitation for Phoenix, if the average is 29 with a standard deviation of 3?
a)
26-32
b)
3-29
c)
26-29
d)
39-32
106.

Use the following information and the Empirical Rule to estimate the answer.


The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.


Find the percentage of golfers that are between 30 and 46 years old.

a)

68%

b)

94%

c)

95%

d)

99.7%

107.

Use the following information and the Empirical Rule to estimate the answer.


The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.


There are 500 golf members at the Mathy Country Club. How many are younger than 34?

a)

16

b)

80

c)

100

d)

150

108.
The mean GPA of students in a course at UCDavis is 3.2 with a standard deviation of 0.3. What percent of students in the course have a GPA between  2.9 and 3.8? 
a)
81.5%
b)
47.5%
c)
68%
d)
95%
109.
The average waist size for teenage males is 29 inches with a standard deviation of 1.4 inch. 
If waist sizes are normally distributed, estimate the proportion of teenagers who will have waist   sizes greater than 31 inches?
a)
92.4%
b)
10.5%
c)
16%
d)
7.6%
110.
The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last between 12 and 15 days?
a)
68%
b)
34%
c)
16%
d)
2.5%
111.

Given a mean of 75 and a standard deviation of 7, what percentage of scores are above 82?

a)

34%

b)

81.5%

c)

16%

d)

2.5%

112.

Given a mean of 75 and a standard deviation of 7, how many students out of 500 would score between 68 and 82

a)

11

b)

2

c)

340

d)

498

113.

Given a mean of 75 and a standard deviation of 7, how many students out of 500 would score higher than 68?

a)

11

b)

12

c)

420

d)

250

114.
The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 68% of all tires will have a life between ___________ km and __________ km.
a)
 28,000 km and 32,000 km.
b)
24,000 km and 34,000 km.
c)
26,000 km and 34,000 km.
d)
27,000 km and 31,000 km.
115.
The distribution of heights of adult American men is approximately Normal with mean 69 inches and standard deviation 2.5 inches. What percent of men are between 64 and 66.5 inches tall? 
a)
50%
b)
2.5%
c)
13.5%
d)
34%
116.
At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What percentage of students at the high school have a GPA between 2.3 and 3.5?
a)
68%
b)
99.7%
c)
95%
d)
84%
117.

68% of the marks in a test are between 51 and 64

Assuming this data is normally distributed, what are the mean and standard deviation?

a)

Mean = 57

S.D. = 6.5

b)

Mean = 57

S.D. = 7

c)

Mean = 57.5

S.D. = 6.5

d)

Mean = 57.5

S.D. = 13

118.

The heights of male students are Normally distributed with mean 1.7 m and standard deviation 0.2 m


In a population of 400 male students, how many would you expect to have a height between 1.4 m and 1.6 m?

a)

24

b)

54

c)

97

d)

100

119.

95% of students at school weigh between 62 kg and 90 kg.

Assuming this data is normally distributed, what are the mean and standard deviation?

a)

Mean = 66 kg

S.D. = 7 kg

b)

Mean = 76 kg

S.D. = 7 kg

c)

Mean = 86 kg

S.D. = 7 kg

d)

Mean = 76 kg

S.D. = 14 kg

120.
What shape is a normal distribution curve?
a)
Half curve
b)
Round curve
c)
Bell curve
d)
Square curve
121.
According to the empirical rule, what percentage of data falls within 1 standard deviation? 
a)
25%
b)
68%
c)
95%
d)
99.7%
122.
According to the empirical rule, how much of the data falls within 3 standard deviations? 
a)
25%
b)
68%
c)
95%
d)
99.7%
123.

Which of the following is a disadvantage of the Empirical Rule?

a)

There is no result for 3 standard deviations.

b)

It is very conservative.

c)

There is no result for 1 standard deviation.

d)

The data has to be approximately normal.

124.

When labeling the axis for a normal distribution curve, the notation σ\sigma  is used to represent standard deviation. What is this Greek letter  σ\sigma  called?

a)

Omega

b)

Delta

c)

Lowercase Sigma

d)

Lowercase Omega

125.
In a factory, the weight of the concrete poured into a mold by a machine follows a normal distribution with a mean of 1150 pounds and a standard deviation of 22 pounds. Approximately 95% of molds filled by this machine will hold weights in what interval? 
a)
1084 to 1216 pounds 
b)
1106 to 1150 pounds 
c)
1106 to 1194 pounds 
d)
1128 to 1172 pounds
126.
At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What percentage of students at the high school have a GPA between 2.3 and 3.5?
a)
68%
b)
99.7%
c)
95%
d)
84%
127.
The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 68% of all tires will have a life between ___________ km and __________ km.
a)
 28,000 km and 32,000 km.
b)
24,000 km and 34,000 km.
c)
26,000 km and 34,000 km.
d)
27,000 km and 31,000 km.
128.
The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last between 12 and 15 days?
a)
68%
b)
34%
c)
16%
d)
2.5%
129.

Use the following information and the Empirical Rule to estimate the answer.


The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.


Find the proportion of golfers that are between 30 and 46 years old.

a)

68%

b)

94%

c)

95%

d)

99.7%

130.

Use the following information and the Empirical Rule to estimate the answer.


The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.


Find the proportion of golfers that are older than 42.

a)

13.5%

b)

16%

c)

50%

d)

85%

131.

Use the following information and the Empirical Rule to estimate the answer.


The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.


There are 500 golf members at the Mathy Country Club. How many are younger than 34?

a)

16

b)

80

c)

100

d)

150

132.

Law of Large Numbers

a)
The rule of small numbers
b)
The principle of medium numbers
c)
The guideline of tiny numbers
d)
The law of large numbers
133.

What is the purpose of z-scores?

a)

to describe the exact location of a score within a distribution

b)

to find the mean of the distribution

c)

to describe the shape of the distribution

d)

to find the standard deviation of the distribution

134.

What is the formula to find the z-score for population?

a)

z=X-M

b)

z=σ-M/μ

c)

z/M=μ

d)

z=X-μ/σ

135.

How to transform z-scores to X values for sample?

a)

X=μ+zσ

b)

X=M+zs

c)

μ=X+zσ

d)

σ(z)-M=s

136.

The sign of the z-score indicates whether the location is above(positive) or below(negative) the mean.

a)

True

b)

False

137.

Find the z-score value corresponding if the location is below the mean by 2 standard deviations

a)

+2.00

b)

-2.00

c)

+1.25

d)

-1.00

138.

Find the z-scores value corresponding if the location is above the mean by 1/2 standard deviations

a)

-0.50

b)

+1.00

c)

+0.50

d)

-1.00

139.

z-scores is the standardized scores for X values

a)

True

b)

False

140.

Transforming raw scores to z-scores will change the shape of the distribution

a)

True

b)

False

141.

The mean of the z-score will always be zero even though the raw scores is 100

a)

True

b)

False

142.

The distribution of z-scores will always have a standard deviation of 1

a)

True

b)

False

143.

Find the Z-score.

Mean = 22

Standard Deviation: 3.1

x = 29

a)

2.26

b)

16.45

c)

-2.26

d)

1.26

144.

Find the Z-score.

Mean = 21

Standard Deviation: 1.3

x = 22

a)

0.77

b)

5.33

c)

1.07

d)

1.26

145.

Find the Z-score.

Mean = 27

Standard Deviation: 1.4

x = 11

a)

-11.43

b)

7.85

c)

-2.33

d)

4.16

146.

Find the z-score.

Mean = 38

Standard Deviation: 1.2

x = 42

a)

3.33

b)

-3

c)

3.03

d)

-3.33

147.

Find the z-score.

Mean = 45

Standard Deviation: 2.1

x = 50

a)

2.38

b)

3.00

c)

3.08

d)

2.33

148.

Find the z-score.

Mean = 40

Standard Deviation: 1.4

x = 42

a)

1.43

b)

1.28

c)

-1.4

d)

1.24

149.

Find the z-score.

Mean: 22.8

Standard Deviation: 7

x = 20

a)

-0.4

b)

17.2

c)

22.04

d)

32.5

150.

Find the z-score.

Mean = 25

Standard Deviation: 7

x = 9.6

a)

-2.2

b)

-36

c)

5.2

d)

23.46

151.

Find the z-score.

Mean: 16

Standard Deviation: 4

x = 11

a)

-1.25

b)

+1.25

c)

16

d)

21

152.

Find the z-score.

Mean: 29.8

Standard Deviation: 7

x = 20

a)

-1.4

b)

10.2

c)

-21

d)

35

153.

Find the z-score.

{1, 9, 16, 7, 2, 23}

x = 5

a)

-0.61

b)

+0.61

c)

3.2

d)

-2.1

154.

Find the z-score.

{23, 15, 4, 11, 1, 29, 3, 17}

x = 30

a)

1.82

b)

5.3

c)

-6.5

d)

8.2

155.

Find the z-score.

{7, 9, 9, 12, 5, 3, 15, 8}

x = 2

a)

-1.86

b)

5.3

c)

2.34

d)

-5.3

156.

Find the z-score.

{17, 14, 9, 23, 15, 27, 18}

x = 10

a)

-1.41

b)

5.4

c)

-7.4

d)

4.1

157.

Find the z-score.

{15, 9, 27, 29, 37, 17, 30}

x = 14

a)

-1.02

b)

-1.2

c)

1.4

d)

2.1

158.

What is the purpose of z-scores?

a)

to describe the exact location of a score within a distribution

b)

to find the mean of the distribution

c)

to describe the shape of the distribution

d)

to find the standard deviation of the distribution

159.

z-scores are the standardized scores for X values

a)

True

b)

False

160.

What is the formula to find the z-score for population?

a)

z=X-M

b)

z=σ-M/μ

c)

z/M=μ

d)

z=X-μ/σ

161.

The sign of the z-score indicates whether the location is above(positive) or below(negative) the mean.

a)

True

b)

False

162.

Find the z-score value corresponding if the location is below the mean by 2 standard deviations

a)

+2.00

b)

-2.00

c)

+1.25

d)

-1.00

163.

Find the z-scores value corresponding if the location is above the mean by 1/2 standard deviations

a)

-0.50

b)

+1.00

c)

+0.50

d)

-1.00

164.

A data set has a mean of 290 and a standard deviation of 20. Calculate the z-score for 265.

a)

z=250.5z=250.5

b)

z=1.25z=1.25

c)

z=−1.02z=-1.02

d)

z=−1.25z=-1.25

165.

A data set has a mean of 20 and a standard deviation of 3. Calculate the z-score for 23.

a)

z=−1z=-1  

b)

z=16.33z=16.33  

c)

z=1z=1  

d)

z=3z=3  

166.

A data set has a mean of 300 and a standard deviation of 40. What value would have a z-score of z=−2z=-2  ?

a)

298

b)

296

c)

220

d)

380

167.

Steve took his math test and scored an 88. If the class average was a 78 with a standard deviation of 5, what percent of students earned a grade that was higher than Steve's grade?

a)

97.5%

b)

93%

c)

5%

d)

2.5%

168.

What does it mean to have a z-score of z=0z=0  on a quiz?

a)

It means you did better than zero people.

b)

It means you scored the same grade as the average grade.

c)

It means you earned a zero on the quiz.

d)

It means the average score was a zero.

169.

Use the image of the normal graph provided. What is the value of the mean?

a)

6

b)

34

c)

52

d)

70

170.

Use the image of the normal graph provided. What is the value of the standard deviation?

a)

6

b)

12

c)

36

d)

18

171.

Use the image of the normal graph provided. What percent of values are less than 46?

a)

16%

b)

84%

c)

46%

d)

12.5%

172.

What percent of scores are below a z-score of z=−1.02z=-1.02 ?  (Use either the attached image of a z-table or use your own copy of the z-table from your notes)

a)

15.87%

b)

15.39%

c)

9.68%

d)

84.61%

173.

What percent of scores are below a z-score of z=2.34z=2.34 ?  (Use either the attached image of a z-table or use your own copy of the z-table from your notes)

a)

99.04%

b)

0.96%

c)

98.93%

d)

97.68%

174.

Transforming raw scores to z-scores will change the shape of the distribution

a)

True

b)

False

175.

A scientist planted two groups of seedlings. After six months, she found that the heights for both groups were normally distributed with means and standard deviations as follows:


Group A: Mean = 41.7 cm, Standard Deviation = 2.2 cm


Group B: Mean = 38.6 cm, Standard Deviation = 3.4 cm


For which group does a z-score of 1.5 give a taller plant?

a)

Group A - 45 cm

b)

Group A - 43.2 cm

c)

Group B - 43.7 cm

d)

Group B - 42 cm

176.

Researchers in an early childhood development organization investigated the number of words in the vocabularies of young children. Here are some summary statistics:


18 months, mean = 85 words, standard deviation = 80 words


24 months, mean = 275 words, standard deviation = 120 words


Miku (who is 18 months old) has a vocabulary of 93 words, while Tessa (who is 24 months old) has a vocabulary of 287 words.


Relative to their age, who has a larger vocabulary?

a)

Miku

b)

Tessa

c)

Miku and Tessa have equally sized vocabularies relative to their ages.

d)

It's impossible to say without seeing all of the individual vocabulary sizes.

177.

Jar candle, mean = 25 hours, standard deviation = 2.5

Pillar candle, mean = 95 hours, standard deviation = 7.5


Fezzik has one of each type of candle. He knows his candles each have a z-score of 1.5. How long will each candle burn?

a)

Jar candle 25 hours, Pillar candle 95

b)

Jar candle 28.75 hours, Pillar candle 106.25

c)

Jar candle 27.5 hours, Pillar candle 102.5

178.

What is the purpose of z-scores?

a)

to describe the exact location of a score within a distribution

b)

to find the mean of the distribution

c)

to describe the shape of the distribution

d)

to find the standard deviation of the distribution

179.

z-scores are the standardized scores for X values

a)

True

b)

False

180.

What is the formula to find the z-score for population?

a)

z=X-M

b)

z=σ-M/μ

c)

z/M=μ

d)

z=X-μ/σ

181.

The sign of the z-score indicates whether the location is above(positive) or below(negative) the mean.

a)

True

b)

False

182.

Find the z-score value corresponding if the location is below the mean by 2 standard deviations

a)

+2.00

b)

-2.00

c)

+1.25

d)

-1.00

183.

Find the z-scores value corresponding if the location is above the mean by 1/2 standard deviations

a)

-0.50

b)

+1.00

c)

+0.50

d)

-1.00

184.

A data set has a mean of 290 and a standard deviation of 20. Calculate the z-score for 265.

a)

z=250.5z=250.5

b)

z=1.25z=1.25

c)

z=−1.02z=-1.02

d)

z=−1.25z=-1.25

185.

A data set has a mean of 20 and a standard deviation of 3. Calculate the z-score for 23.

a)

z=−1z=-1  

b)

z=16.33z=16.33  

c)

z=1z=1  

d)

z=3z=3  

186.

A data set has a mean of 300 and a standard deviation of 40. What value would have a z-score of z=−2z=-2  ?

a)

298

b)

296

c)

220

d)

380

187.

Steve took his math test and scored an 88. If the class average was a 78 with a standard deviation of 5, what percent of students earned a grade that was higher than Steve's grade?

a)

97.5%

b)

93%

c)

5%

d)

2.5%

188.

What does it mean to have a z-score of z=0z=0  on a quiz?

a)

It means you did better than zero people.

b)

It means you scored the same grade as the average grade.

c)

It means you earned a zero on the quiz.

d)

It means the average score was a zero.

189.

Use the image of the normal graph provided. What is the value of the mean?

a)

6

b)

34

c)

52

d)

70

190.

Use the image of the normal graph provided. What is the value of the standard deviation?

a)

6

b)

12

c)

36

d)

18

191.

Use the image of the normal graph provided. What percent of values are less than 46?

a)

16%

b)

84%

c)

46%

d)

12.5%

192.

What percent of scores are below a z-score of z=−1.02z=-1.02 ?  (Use either the attached image of a z-table or use your own copy of the z-table from your notes)

a)

15.87%

b)

15.39%

c)

9.68%

d)

84.61%

193.

What percent of scores are below a z-score of z=2.34z=2.34 ?  (Use either the attached image of a z-table or use your own copy of the z-table from your notes)

a)

99.04%

b)

0.96%

c)

98.93%

d)

97.68%

194.

Transforming raw scores to z-scores will change the shape of the distribution

a)

True

b)

False

195.

A scientist planted two groups of seedlings. After six months, she found that the heights for both groups were normally distributed with means and standard deviations as follows:


Group A: Mean = 41.7 cm, Standard Deviation = 2.2 cm


Group B: Mean = 38.6 cm, Standard Deviation = 3.4 cm


For which group does a z-score of 1.5 give a taller plant?

a)

Group A - 45 cm

b)

Group A - 43.2 cm

c)

Group B - 43.7 cm

d)

Group B - 42 cm

196.

Researchers in an early childhood development organization investigated the number of words in the vocabularies of young children. Here are some summary statistics:


18 months, mean = 85 words, standard deviation = 80 words


24 months, mean = 275 words, standard deviation = 120 words


Miku (who is 18 months old) has a vocabulary of 93 words, while Tessa (who is 24 months old) has a vocabulary of 287 words.


Relative to their age, who has a larger vocabulary?

a)

Miku

b)

Tessa

c)

Miku and Tessa have equally sized vocabularies relative to their ages.

d)

It's impossible to say without seeing all of the individual vocabulary sizes.

197.

Jar candle, mean = 25 hours, standard deviation = 2.5

Pillar candle, mean = 95 hours, standard deviation = 7.5


Fezzik has one of each type of candle. He knows his candles each have a z-score of 1.5. How long will each candle burn?

a)

Jar candle 25 hours, Pillar candle 95

b)

Jar candle 28.75 hours, Pillar candle 106.25

c)

Jar candle 27.5 hours, Pillar candle 102.5

198.
If heights of 3rd graders follow a normal distribution with a mean of 52 inches and a standard deviation of 2.5 inches, what is the z score of a 3rd grader who is 47 inches tall? 
a)
-5
b)
-2
c)
2
d)
5
199.
The mean temperature in Glens Falls for the month of February is 23 degrees with a standard deviation of 4.2 degrees.  What is the z-score for a temperature of 17 degrees?  
a)
1 
b)
1.43
c)
-1.43
d)
11.5
200.
The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below: 
9, 8, 12, 6, 10
What is the mean number of pages she wrote per day?
a)
5
b)
6
c)
9
d)
11
201.

Find the z-scores value corresponding if the location is above the mean by 1/2 standard deviations

a)

-0.50

b)

+1.00

c)

+0.50

d)

-1.00

202.

Find the z-score value corresponding if the location is below the mean by 2 standard deviations

a)

+2.00

b)

-2.00

c)

+1.25

d)

-1.00

203.

Find the Z-score.

Mean = 21

Standard Deviation: 1.3

x = 22

a)

0.77

b)

5.33

c)

1.07

d)

1.26

204.

A data set has a mean of 300 and a standard deviation of 40. What value would have a z-score of z=−2z=-2  ?

a)

298

b)

296

c)

220

d)

380

205.

A data set has a mean of 20 and a standard deviation of 3. Calculate the z-score for 23.

a)

z=−1z=-1  

b)

z=16.33z=16.33  

c)

z=1z=1  

d)

z=3z=3  

206.

What does it mean to have a z-score of z=0z=0  on a quiz?

a)

It means you did better than zero people.

b)

It means you scored the same grade as the average grade.

c)

It means you earned a zero on the quiz.

d)

It means the average score was a zero.

207.
√1
a)
4
b)
1
c)
6
d)
no solution 
208.
√24
a)
4√6
b)
2√6
c)
6√2
d)
2√12
209.
√121
a)
11
b)
12
c)
21
d)
121
210.
Simplify √125
a)
√125
b)
5√3
c)
3√5
d)
5√5
211.
Simplify √300
a)
4√6
b)
3√100
c)
3√10
d)
10√3
212.
∛8
a)
2
b)
-2
c)
±2
d)
None
213.
Simplify: 
√(a2)
a)
a
b)
a2
c)
a.5
d)
already simplified
214.
Simplify
a)
x²y√xy
b)
xy
c)
x²y²
d)
Can't Simplify
215.
In simplest radical form, √30 is equivalent to:
a)
5√3
b)
√30
c)
√3
d)
3√5
216.
Rewrite using radicals:
y3/2
a)
∛y2
b)
√y3
c)
3/2√y
d)
2/3√y
217.

What is a controlled variable in a science experiment/investigation?

a)

The part of the experiment that we measure.

b)

The part of the experiment that we manipulate or change.

c)

The part of the experiment that we keep the same between trials.

d)

When we make a prediction about what we think the results will show.

218.

What is a dependent variable in a science experiment/investigation?

a)

The part of the experiment that we measure.

b)

The part of the experiment that we manipulate or change.

c)

The part of the experiment that we keep the same between trials.

d)

When we make a prediction about what we think the results will show.

219.

What is an independent variable in a science experiment/investigation?

a)

The part of the experiment that we measure.

b)

The part of the experiment that we manipulate or change.

c)

The part of the experiment that we keep the same between trials.

d)

When we make a prediction about what we think the results will show.

220.

What is the first thing you should do before starting to collect data?

a)

Decide what the purpose of the data collection is.

b)

Write your questions.

c)

Collect personal information about respondents.

d)

Contact potential participants.

221.

The things that are kept the same to ensure the results are due to the experiment is called..

a)

Control

b)

Controlled variable

c)

Independent Variable

d)

Dependent Variable

222.

Surveys can generate

a)

Qualitative data

b)

Quantitative data

c)

Objective data

d)

All of the above

223.

Data collection is the process of...

a)

gathering and measuring information on variables of interest

b)

gathering and measuring books on variables of interest

c)

gathering and measuring newspapers on variables of interest

d)

gathering and measuring diaries on variables of interest

224.

Which one is a strength of observations

a)

enables a researcher to look afresh at everyday behaviour that otherwise might be taken for granted, expected or go unnoticed

b)

can provide a bias outcomes due to confirmation bias of the person/s observing and their AR hypothesis

c)

has difficulties with maintaining high levels of anonymity

d)

can manipulate the situation or subjects

225.

Information gained using the 5 senses

a)

observation

b)

inference

c)

qualitative

d)

quantitative

226.
What is a survey?
a)
A tool used to collect statistical data
b)
Statistics collected from an entire population
c)
An element or feature that can vary
d)
A group chosen from a population
227.

Determine if people who take vitamin C every day are less likely to get colds.

a)

Cencus

b)

Sample Survey

c)

Experiment

d)

Observational Study

228.
Determining if students using a calculator on a math final exam score better than students who do not use a calculator 
a)
Cenus
b)
Sample Survey
c)
Experiment
d)
Observational Study
229.
Choosing people at random at the supermarket and asking them to taste two brands of orange juice to determine which brand they prefer.
a)
Census
b)
Sample Survey
c)
Experiment
d)
Observational Study
230.
Estimate the number of students in your school who play video games more than 10 hours per week.
a)
Census
b)
Sample Survey
c)
Experiment
d)
Observational Study
231.
Determine if not using car seat belts increases deaths in car accidents
a)
Census
b)
Sample Survey
c)
Experiment
d)
Observational Study
232.

Decide if computer games are more effective than paper and pencil drills for children learning the multiplication tables.

a)

Census

b)

Sample Survey

c)

Experiment

d)

Observational Study

233.
Asking customers at a restaurant if pizza should be added to the menu.
a)
Census
b)
Sample Survey
c)
Experiment
d)
Observational Study
234.
A random selection of people are called every morning for a week to determine if television shows are too violent. 
a)
Census
b)
Sample Survey
c)
Experiment
d)
Observational Study
235.
This sample consists of the entire population
a)
convenience
b)
census
c)
cluster
d)
simple
236.
This sample consists of units of the population that are easily accessible.
a)
Cluster
b)
Convenience
c)
Volunteer
d)
Observational
237.
This sample consists of units of the population that chose to respond.
a)
mandatory
b)
census
c)
volunteer
d)
unbiased
238.
Every possible group of units of the required size has the same chance of being the selected sample as any other sample of the same size.
a)
Simple Random 
b)
Thoughtful
c)
Typical
d)
Proportional
239.
This sample is selected by dividing the population into subgroups and then taking a fixed number of units from each group using the simple random sample.
a)
stratified
b)
cluster
c)
judgment
d)
experimental
240.
Units of the population are ordered in some fashion.  Usually, every k-th unit is chosen.
a)
proportional
b)
probable
c)
stratified
d)
systematic
241.
This method produces values that systematically differ from the population being sampled.
a)
valid sample
b)
variable sample
c)
biased sample
d)
cluster sample
242.
Units of the population are grouped; one or more groups are selected at random.  All units of that group are included in the sample.
a)
cluster sample
b)
simple random
c)
stratified
d)
proportional
243.
The conductor has no input or control over the environment in this situation
a)
census
b)
observational study
c)
experiment
d)
judgment
244.
Cluster, stratified, simple random, systematic, and proportional are all types of 
a)
convenience samples
b)
biased samples
c)
haphazard samples
d)
unbiased samples
245.
The conductor has control over the environment in this setting
a)
experiment
b)
observational study
c)
population
d)
sample
246.
Identify the sampling design: The LFCC registrar wants to investigate attitudes of their graduates.  The registrar randomly selects 100 names from each of the four past graduating classes.
a)
cluster
b)
volunteer
c)
stratified
d)
simple random
247.
Identify the sampling design: School admin conducted a survey on post-graduation plans.  Students of senior class 2018 were listed in order by class rank.  The school selected a random number between 1 and 15, obtaining a number 11.  Then, they selected every 11th student for the survey.
a)
cluster
b)
volunteer
c)
systematic
d)
simple random
248.
Identify the sampling design: Mr. Rhoades puts all of his students' names in a hat and randomly selects one without looking.
a)
cluster
b)
volunteer
c)
systematic
d)
simple random
249.
Identify the sampling design: Student government randomly samples 25 students of each of the four classes.
a)
stratified
b)
volunteer
c)
systematic
d)
simple random
250.
Identify the sampling design: SCPS wants to survey its employees.  They pick 4 schools from the county and survey every single employee in each of the 4 buildings.
a)
cluster
b)
volunteer
c)
systematic
d)
simple random
251.
Identify the sampling design: A campaign intern makes phone calls to ask questions to registered voters regarding their intention to vote on election day.
a)
cluster
b)
volunteer
c)
systematic
d)
simple random
252.
Identify the sampling design: Mr. Rhoades asks Mr. May, his neighbor, who his favorite America's Got Talent contestant is
a)
cluster
b)
unbiased
c)
stratified
d)
convenience
253.
Identify the sampling design: Mr. Rhoades asks his roommate what his favorite TV show is
a)
cluster
b)
unbiased
c)
stratified
d)
convenience

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