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Central Tendency and Standard Deviation

Total questions: 63

Worksheet time: 2hrs 3mins

Name
Class
Date
1.

What is the first step when looking at data?

a)

Find the mean

b)

Put them in order from least to greatest

c)

Sort the data into categories

d)

Find the range

2.

The mean of a data set can be found by...

a)

subtracting the minimum from the maximum

b)

choosing the middle number

c)

choosing the number that occurs most

d)

finding the sum of the numbers and then dividing by the total amount of numbers in the data set

3.

There can be more than one mean

a)

True

b)

False

4.

There can be more than one mode

a)

True

b)

False

5.

The median of the numbers 34, 32, 12, 65, and 45 is...

a)

34

b)

32

c)

12

d)

65

6.
The number of orange Skittles in a bag. 
a)
Discrete
b)
Continuous
7.
The number of suitcases lost by airlines. 
a)
Discrete
b)
Continuous
8.
Adam earns $10 for each car he washes.
a)
Discrete
b)
Continuous
9.
Graph of the growth of a plant for the next 30 days. 
a)
Discrete
b)
Continuous
10.
Joe is losing an average of .5 pounds a week.  Is this continuous or discrete data?
a)
Discrete
b)
Continuous
11.
The time it takes for a light bulb to burn out. 
a)
Discrete
b)
Continuous
12.

The number of cars in the parking lot.

a)

discrete data

b)

continuous data

13.

The number of computers in a library.

a)

discrete data

b)

continuous data

14.

Time taken to complete homework.

a)

discrete data

b)

continuous data

15.

The weight of an elephant.

a)

discrete data

b)

continuous data

16.

The number of pets per family in a city.

a)

discrete data

b)

continuous data

17.

The number of questions you answered correctly in this test.

a)

discrete data

b)

continuous data

18.

The speed of cars.

a)

discrete data

b)

continuous data

19.

The amount of rain, in cm, that falls in a storm.

a)

discrete data

b)

continuous data

20.

The average temperature of the last month.

a)

discrete data

b)

continuous data

21.

The time to compete a 1000 m race.

a)

discrete data

b)

continuous data

22.
the scores in a basketball match are as follows:
7,13,18,24,9,3,18
which score occurred most often?
a)
9
b)
13
c)
18
d)
24
23.
the following is time (in seconds) taken for five men to run in a sprint race
59,65,61,62,55
what is the mean of the time taken?
a)
60.0
b)
60.4
c)
61.0
d)
61.4
24.
What is the range of the set: 49, 68, 62, 47, 39, 54, 43
a)
25
b)
29
c)
31
d)
19
25.
What is the mode?
100, 101, 102, 100, 101, 102, 100, 101, 102, 100
a)
100
b)
102
c)
101
d)
103
26.
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
27.
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
28.
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 mean number of miles Jenna cycled?
a)
31
b)
36
c)
39
d)
41
29.
Paulo got these markers in three tests: 72, 80 and 82. He had one more test to sit. He wanted an average of 80 for the four tests. What mark must he get in the fourth test?
a)
78
b)
80
c)
84
d)
86
30.
If the mean of a data set is 10, what is the missing piece of data? 
5, 4, 7, 15, 12, ___
a)
7
b)
17
c)
20
d)
16
31.
Which number is not the mean, median, mode, or range of the data set 4, 3, 15, 11, 3, 8, 7, 5?
a)
3
b)
6
c)
12
d)
11
32.

What is the mean of the data set shown?

a)

81

b)

2,430

c)

5.13

d)

8

33.

What is the interquartile range of the data set shown?

a)

6

b)

2

c)

3

d)

5

34.

The heights in inches of seven basketball players are listed below.

72, 74, 80, 86, 78, 85, 83

What is the interquartile range of the heights?

a)

10

b)

81

c)

11

d)

12

35.

Which is a true statement about a measure of center and a measure of variation?

a)

A measure of center is the same as a measure of variation.

b)

A measure of center describes how the numbers vary within a data set, while a measure of variation summarizes the data.

c)

A measure of center summarizes the data, while a measure of variation describes how the numbers vary within a data set

d)

A measure of center determines the center of the data, while a measure of variation measures how the data varies with another data set.

36.

Which has a larger standard deviation?

(a)  

37.
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
38.

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

39.

What does this symbol represent?

a)

Standard Deviation

b)

Variance

c)

Mean Absolute Deviation

d)

Median

40.

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

41.

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

42.
If the standard deviation of a data set is 4, what is the variance?
a)
2
b)
16
c)
4
43.

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

44.

Order the dot plots from least to greatest standard deviation.

a)

A, D, C, B

b)

B, C, D, A

c)

A, D, B, C

d)

B, C, A, D

45.

1. An Outlier Is…

a)

A value that is in the middle of a data set.

b)

A value very close to the mean of the data set.

c)

A value that is an abnormal distance from other points in the data set.

d)

A number that makes more sense to use in the context of a data set.

46.

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

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)

0.53

b)

0.41

c)

0.35

d)

0.22

48.

If the variance of a data set is equal to 19, what is the standard deviation? (Round 2 decimal places)

(a)  

49.
What is the interquartile range?
a)
4
b)
6
c)
2
d)
8
50.
What value is the lower quartile?
a)
66
b)
58
c)
60
d)
64
51.
What do you do if there are two numbers in "the middle" when you are finding the median?
a)
Pick your favorite number
b)
Add the two numbers in the middle & then divide by two.
c)
They are both the median
d)
None of the above
52.
2. Which of the following best describes the process of finding the interquartile range for a set of data?
a)
Add the biggest and smallest numbers.
b)
Place the numbers in order from least to greatest and find the middle.
c)
Find the difference between the maximum and the minimum.
d)
Subtract Q1 from Q3.
53.
What percent of students have a height between 58 inches and 60 inches?
a)
25%
b)
50%
c)
75%
d)
100%
54.
What percentage of the data is between 90 and 140?
a)
25 %
b)
50%
c)
75%
d)
100%
55.
What is the term for the median of the upper half of the data?
a)
Upper Quartile
b)
Lower Quartile
c)
Median
d)
Minimum
56.
What is the range?
a)
average
b)
biggest-smallest
c)
the middle #
d)
# happening the most
57.

What is the upper quartile of the set of data; 2, 4, 6, 6, 7, 8, 10

a)

4

b)

6

c)

8

d)

2

58.
a)

The median test score is 80.

b)

The lower quartile is 65.

c)

The upper quartile is 90.

d)

The IQR is 30.

59.

What does a quartile mean?

a)

One fourth of the data.

b)

One half of the data.

c)

Some data only.

d)

All of the data.

60.
What is the minimum value?
a)
64
b)
58
c)
66
d)
60
61.
What is the maximum value?
a)
58
b)
66
c)
64
d)
60
62.
What value is the lower quartile?
a)
66
b)
58
c)
60
d)
64
63.
What is the median?
a)
62
b)
58
c)
66
d)
60