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statistics review

Total questions: 110

Worksheet time: 2hrs 20mins

Name
Class
Date
1.

These kind of observations are made using instruments such as rulers, balances and thermometers.

a)

qualitative

b)

quantitative

2.

These kind of observation use your senses to observe results.

a)

qualitative

b)

quantitative

3.

The leaf is 5 mm wide.

a)

qualitative

b)

quantitative

4.

The temperature of the room is decreasing by 4 degrees Celsius.

a)

qualitative

b)

quantitative

5.

The mass of the chocolate cake is 250 g.

a)

qualitative

b)

quantitative

6.

There are 75 trees in the forest.

a)

qualitative

b)

quantitative

7.

The clouds are grey and ground is wet.

a)

qualitative

b)

quantitative

8.

There are ten buttons on the table.

a)

qualitative

b)

quantitative

9.

There are 25 liters of water in the buckets.

a)

quantitative

b)

qualitative

10.
There are 20 students in our classroom. 
a)
quantitative 
b)
qualitative
11.
The tree branch is broken.
a)
inference
b)
observation
12.
The weather is cold.
a)
inference
b)
observation
13.
If the boy crawled out of the water, the goat would push him in.
a)
inference
b)
observation
14.
The sailboat belongs to the boy.
a)
inference
b)
observation
15.
The tree by the pond has no leaves.
a)
inference
b)
observation
16.

Which month is your birthday?

a)

Numerical

b)

Categorical

17.

What is your favorite ice cream flavor?

a)

Categorical

b)

Numerical

18.

How many states have your visited?

a)

Categorical

b)

Numerical

19.

What did you eat for supper last night?

a)

Numerical

b)

Categorical

20.

Who is your favorite singer?

a)

Categorical

b)

Numerical

21.

Raw data is also known as secondary data

a)

true

b)

false

22.

Unanalyzed data; data not yet subjected to analysis is called what?

(a)  

23.

According to statistics, the details given by investigator or collected from sources are known as (a)   data.

24.

Conclusion forms the beginning of a thesis.

a)

True

b)

False

25.

Students using brand A ball pens write better than those using brand B ball pens.

a)

alternative ; directional

b)

alternative ; nondirectional

c)

null

26.

There is no significant difference between the average weekly allowances of morning and afternoon pupils in Mapayapa Elementary School.

a)

alternative ; directional

b)

alternative ; nondirectional

c)

null

27.

Giving a Christmas bonus will increase the productivity of employees.

a)

alternative ; directional

b)

alternative ; nondirectional

c)

null

28.

A modern approach in advertisement will not increase the demand for a product.

a)

alternative ; directional

b)

alternative ; nondirectional

c)

null

29.

The proportion of patients with heart diseases is higher among smokers than nonsmokers.

a)

alternative ; directional

b)

alternative ; nondirectional

c)

null

30.

The introduction of modern computers affects the performance of the students.

a)

alternative ; directional

b)

alternative ; nondirectional

c)

null

31.
At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.
12,10,10,10,13,12,11,13,10
a)
13
b)
12
c)
11
d)
10
32.
Find the mean of these numbers:
2, 57, 38, 42, 6
a)
29
b)
38
c)
50
d)
145
33.
Find the median of these numbers:
4,2,7,4,3
a)
2
b)
5
c)
7
d)
4
34.
Identify the outlier for the given data?
23, 34, 27, 7, 30, 26, 28, 31, 34
a)
7
b)
23
c)
31
d)
34
35.
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
36.
To find the ______ you put all numbers in order from least to greatest and then take the largest number minus the smallest number.
a)
Mean
b)
Median
c)
Mode
d)
Range
37.
To find the ________ you put all numbers in order from least to greatest and find the number that is in the middle.
a)
Mean
b)
Median
c)
Mode
d)
Range
38.
Find the median.
12, 5, 9, 18, 22, 25, 5
a)
9
b)
8
c)
12
d)
18
39.
A data set can have more than one mode
a)
True
b)
False
40.
Find the Mean of:
8, 14, 32, 6, 15
a)
15
b)
175
c)
75
d)
12
41.
What is the median of:
6, 12, 16, 11, 8, 4, 1, 11, 4
a)
11
b)
6
c)
8
d)
7
42.
What is the median of the data set?
9, 7, 2, 4, 3, 5, 9, 6, 8, 0, 3, 8
a)
6
b)
7
c)
5.5
d)
9
43.
What is the mode of the data set:
Black  Blue  Red
Pink  Black  Black
Gray  Green  Blue
Blue  Blue  Red
Yellow  Blue  Red
a)
Blue and Black
b)
Blue
c)
Red
d)
Black
44.
If my data set had an outlier that was quite a bit more than the other numbers in my data set, what would it do to my average
a)
leave it the same
b)
increase the average
c)
decrease the average
45.
When finding the median, what do you do if there are two middle numbers?
a)
Add them together and divide by 2
b)
Write them both as the answer
c)
Give up
d)
Pick one
46.
a)

149

b)

139

c)

159

d)

145

47.

What is the median of this data set?

a)

149

b)

139

c)

159

d)

152

48.

What is the mode of this data set?

a)

149

b)

139

c)

159

d)

152

49.

The cost of 5 homes in a neighborhood is given below. What is the best measure of central tendency?

$127,000 $138,000 $156,000 $125,000 $1,232,000

a)

mean

b)

median

c)

mode

d)

midrange

50.

The cost of 5 homes in a neighborhood is given below. What is the best measure of central tendency?

$127,000 $138,000 $156,000 $125,000 $232,000

a)

mean

b)

median

c)

mode

d)

midrange

51.

What is an ogive graph?

a)

Cumulative Frequency Graph

b)

Frequency Graph

c)

Relative Frequency Graph

d)

A pie chart

52.

What is the cumulative frequency of the 3rd class in this distribution?

a)

1

b)

14

c)

15

d)

24

53.

Find the cumulative frequencies.

a)

28, 56, 84, 100

b)

28, 58, 70, 72, 74, 76

c)

33%, 37%, 20%, 7%, 7%, 7%

d)

28, 30, 12, 2, 2, 2

54.

What is another name for the ogive?

a)

Histogram

b)

Frequency Polygon

c)

Cumulative frequency graph

d)

Pareto chart

55.

A cumulative relative frequency distribution shows

a)

the proportion of data items with values less than or equal to the upper limit of each class

b)

the proportion of data items with values less than or equal to the lower limit of each class.

c)

the percentage of data items with values less than or equal to the upper limit of each class

d)

the percentage of data items with values less than or equal to the lower limit of each class

56.

What is the difference between relative frequency and cumulative frequency?

a)

Relative frequency of a class is the proportion of the data in that class, while cumulative frequency of a class is the number of observations in that class.

b)

Relative frequency of a class is the percentage of the data that falls in that class, while cumulative frequency of a class is the sum of the frequencies of that class and all previous classes.

c)

Relative frequency of a class is the number of observations in that class, while cumulative frequency of a class is the sum of all the frequencies.

d)

There is no difference between the two.

57.

At right is a cumulative relative frequency graph for the 48 racers who finished the grueling 50km cross-country ski race at the 2014 Sochi Olympics. Approximately what proportion of the racers finished the race in MORE than 2.15 hours?

a)

1.34

b)

0.45

c)

0.238

d)

0.54

58.

P(x ≥ 5) = (a)  

59.

Find the relative frequencies

a)

37%, 76%, 92%, 95%, 98%, 100%

b)

28%, 30%, 12%, 2%, 2%, 2%

c)

33%, 37%, 20%, 7%, 7%, 7%

d)

37%, 39%, 16%, 3%, 3%, 3%

60.

What would be the cumulative frequency for the third class?

a)

5

b)

12

c)

17

d)

18

61.

It is a plot used in statistics to show cumulative frequencies.

a)

bar graph

b)

histogram

c)

frequency polygon

d)

ogive

62.

Base on the presented table, what is the cumulative frequency for Class 11-15?

a)

5

b)

7

c)

9

d)

10

63.

Base on the presented table, what is the relative frequency for Class 16-20?

a)

0 %

b)

1 %

c)

5 %

d)

10 %

64.

The vertical axis of an ogive comes from this column:

a)

Cumulative Frequency

b)

Frequency

c)

Midpoint

d)

Upper Class Limits

65.

What type of graph is shown?

a)

Histogram

b)

Frequency Polygon

c)

Ogive

d)

Line graph

66.

According to the ogive, what is the approximate number of college students who were surveyed?

a)

80

b)

100

c)

120

d)

350

67.

Using the ogive shown below, what is the cumulative frequency of data values less than or equal to 16 ?

a)

60

b)

66

c)

30

d)

20

68.

How do we convert a frequency table into a cumulative frequency table?

a)

By finding the midpoint of each interval and multiplying by frequency.

b)

By filling in the gaps on a two way table so both sets of data have the same total.

c)

By finding the running total of the frequency at every interval.

69.

Identify the class with the highest relative frequency.

a)

95 - 105

b)

105 - 115

c)

115 - 125

d)

125 - 135

70.

What is the missing number in the cumulative frequency column?

(a)  

71.

What is an ogive graph?

a)

Cumulative Frequency Graph

b)

Frequency Graph

c)

Relative Frequency Graph

d)

A pie chart

72.

What is the cumulative frequency of the 3rd class in this distribution?

a)

1

b)

14

c)

15

d)

24

73.

Find the cumulative frequencies.

a)

28, 56, 84, 100

b)

28, 58, 70, 72, 74, 76

c)

33%, 37%, 20%, 7%, 7%, 7%

d)

28, 30, 12, 2, 2, 2

74.

What is another name for the ogive?

a)

Histogram

b)

Frequency Polygon

c)

Cumulative frequency graph

d)

Pareto chart

75.

A cumulative relative frequency distribution shows

a)

the proportion of data items with values less than or equal to the upper limit of each class

b)

the proportion of data items with values less than or equal to the lower limit of each class.

c)

the percentage of data items with values less than or equal to the upper limit of each class

d)

the percentage of data items with values less than or equal to the lower limit of each class

76.

What is the difference between relative frequency and cumulative frequency?

a)

Relative frequency of a class is the proportion of the data in that class, while cumulative frequency of a class is the number of observations in that class.

b)

Relative frequency of a class is the percentage of the data that falls in that class, while cumulative frequency of a class is the sum of the frequencies of that class and all previous classes.

c)

Relative frequency of a class is the number of observations in that class, while cumulative frequency of a class is the sum of all the frequencies.

d)

There is no difference between the two.

77.

At right is a cumulative relative frequency graph for the 48 racers who finished the grueling 50km cross-country ski race at the 2014 Sochi Olympics. Approximately what proportion of the racers finished the race in MORE than 2.15 hours?

a)

1.34

b)

0.45

c)

0.238

d)

0.54

78.

P(x ≥ 5) = (a)  

79.

Find the relative frequencies

a)

37%, 76%, 92%, 95%, 98%, 100%

b)

28%, 30%, 12%, 2%, 2%, 2%

c)

33%, 37%, 20%, 7%, 7%, 7%

d)

37%, 39%, 16%, 3%, 3%, 3%

80.

What would be the cumulative frequency for the third class?

a)

5

b)

12

c)

17

d)

18

81.

It is a plot used in statistics to show cumulative frequencies.

a)

bar graph

b)

histogram

c)

frequency polygon

d)

ogive

82.

Base on the presented table, what is the cumulative frequency for Class 11-15?

a)

5

b)

7

c)

9

d)

10

83.

Base on the presented table, what is the relative frequency for Class 16-20?

a)

0 %

b)

1 %

c)

5 %

d)

10 %

84.

The vertical axis of an ogive comes from this column:

a)

Cumulative Frequency

b)

Frequency

c)

Midpoint

d)

Upper Class Limits

85.

What type of graph is shown?

a)

Histogram

b)

Frequency Polygon

c)

Ogive

d)

Line graph

86.

According to the ogive, what is the approximate number of college students who were surveyed?

a)

80

b)

100

c)

120

d)

350

87.

Using the ogive shown below, what is the cumulative frequency of data values less than or equal to 16 ?

a)

60

b)

66

c)

30

d)

20

88.

How do we convert a frequency table into a cumulative frequency table?

a)

By finding the midpoint of each interval and multiplying by frequency.

b)

By filling in the gaps on a two way table so both sets of data have the same total.

c)

By finding the running total of the frequency at every interval.

89.

Identify the class with the highest relative frequency.

a)

95 - 105

b)

105 - 115

c)

115 - 125

d)

125 - 135

90.

What is the missing number in the cumulative frequency column?

(a)  

91.
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
92.
A national achievement test is administered annually to 3rd graders. The test has a mean score of 100 and a standard deviation of 15. If Jane's z-score is 1.20, what was her score on the test?
a)
82
b)
88
c)
100
d)
118
93.
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.
94.
Scores on a certain standardized test have a mean of 500, and a standard deviation of 100. How common is a score between 600 and 700? Calculate the probability. 
a)
2.5%
b)
2.35%
c)
16%
d)
13.5%
95.
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%
96.
At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What is the GPA of the highest 2.5% of the students?
a)
4.1 
b)
4.1 or higher
c)
4.7
d)
4.5 or higher
97.
A test is given that has a mean of 70 and a standard deviation of 13. If a student's Z-score is +1, the student's score before conversion was:
a)
70
b)
83
c)
57
d)
Cannot be determined from the information given.
98.
The average waist size for teenage males is 29 inches with a standard deviation of 2 inches. 
If waist sizes are normally distributed, determine the z-score of a teenage male with a 33 inch waist.  
a)
2
b)
1
c)
-2
d)
-1
99.
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
100.
The normal curve is symmetrical about the mean.
a)
True
b)
False
101.
Women’s heights have a mean of 63.6 in. and a standard deviation of 2.5 inches.  The z score corresponding to a woman with a height is 2.56. How tall is the woman?
a)
24.42 in
b)
70 in
c)
28in
d)
68.6in
102.
What proportion of the standard normal curve falls above a z score of 1.33? (Rounded to the nearest two decimal places)
a)
0.91
b)
0.09
c)
0.15
d)
0.02
103.
A z-score tells you...
a)
the standard deviation of a sampling distribution.
b)
the original raw score on which it is based.
c)
if the distribution it comes from is normal.
d)
how many standard deviations away from the mean a score lies.
104.
Find the area under the standard normal curve to the right of z = -2.67.
a)
0.0869
b)
0.9962
c)
0.0008
d)
0.1234
105.
Find the area under the normal distribution curve between a z=-1.26 and z=.57. 
a)
0.0047
b)
0.9204
c)
0.6119
d)
0.4981
106.
Find the area under the normal distribution curve to the left of 
Z=0.27.
a)
0.3936
b)
0.3897
c)
0.6064
d)
0.4892
107.
Find the area under the normal distribution curve that represents the area to the left of Z =-2.37.
a)
0.0089
b)
0.9910
c)
0.1401
d)
0.1381
108.
Find the area under the normal distribution curve between 
z=-1.53 and z=0.
a)
0.437
b)
0.563
c)
0.500
d)
0.063
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.
Pat and Chris both took a spatial abilities test (mean = 80, std. dev. = 8).  Pat scores a 76 and Chris scored a 94.  What percent of individuals would score between Pat and Chris? 
a)
26.8%
b)
96%
c)
65.1%
d)
4%

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