Free Printable Measures of Dispersion

1.

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

2.

What does this symbol represents?

a)

Data

b)

Mode

c)

Variance

d)

Mean

3.

What does this symbol represent?

a)

Standard Deviation

b)

Variance

c)

Mean Absolute Deviation

d)

Sigma

4.

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

5.

If the standard deviation of a data set is 4, what is the variance?

a)

2

b)

16

c)

4

6.

If the standard deviation of a data set is 4, what is the variance?

a)

2

b)

16

c)

4

7.

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

8.

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

9.

Find the median of these numbers:
4, 2, 7, 4, 3

a)

2

b)

5

c)

7

d)

4

10.

Find the mean of these numbers:
5,11,2,12,4,2

a)

4.1

b)

6

c)

4.5

d)

4

11.

A teacher needs to report the average of her last long quiz to her superior. Here are the scores, 58, 37, 25, 43, 38, 22, 31, 49, 53, 28.

a)

35.00

b)

38.50

c)

35.30

d)

38.40

12.

The salary of the employees in the office were $15,000; $18,000; $16,000; $14,000; $90,000; and $17,000. What is the best measure of the central tendency of the salaries?

a)

Mean

b)

Median

c)

Mode

d)

Range

13.

What measures of position divides the distribution into 4 equal parts?

a)

quartiles

b)

deciles

c)

percentiles

d)

range

14.

Which is the closest to what most people would call the "average?"

a)

mean

b)

median

c)

mode

d)

range

15.

Which is the number that appears the MOST often?

a)

mean

b)

median

c)

mode

d)

range

16.

Which is the MIDDLE?

a)

Mean

b)

Median

c)

Mode

d)

Range

17.

What is an outlier?

a)

A value that is much less or much greater than the other values in a data set.

b)

The difference between the upper and lower quartiles of a data set.

c)

The mean of the distances from each data value in a set to the mean of a set.

d)

The difference between the greatest and least numbers in a data set.

18.

What is an outlier?

a)

A value that is much less or much greater than the other values in a data set.

b)

The difference between the upper and lower quartiles of a data set.

c)

The mean of the distances from each data value in a set to the mean of a set.

d)

The difference between the greatest and least numbers in a data set.

19.

Find the interquartile range for this set of data 1 3 4 6 7 9 11

a)

3

b)

4

c)

6

d)

9

20.

Calculate the interquartile range for this following.

a)

83

b)

84

c)

85

d)

87

21.

The formula of ____________

a)

Standard Deviation

b)

Mean

c)

Median

d)

Variance

22.

How many games did the team play?

a)

15

b)

12

c)

24

d)

14

23.

In how many games did the team score more than 20 points?

a)

8

b)

7

c)

10

d)

9

24.

What is the mode of the scores?

a)

24

b)

14

c)

34

d)

30

25.

What is the MEDIAN of this data

a)

95

b)

90

c)

100

d)

40

26.

What is the RANGE of this data

a)

40

b)

95

c)

90

d)

100

27.

What is the MODE of this data?

a)

100

b)

20

c)

80, 85, and 90

d)

none

28.

What is the MEAN of this data? Round to the nearest hundredth

a)

85.77

b)

1115

c)

85

d)

13

29.

What is the minimum value?

a)

64

b)

58

c)

66

d)

60

30.

What is the maximum value?

a)

58

b)

66

c)

64

d)

60

31.

What is the median?

a)

62

b)

58

c)

66

d)

60

32.

What is the interquartile range (IQR)?

a)

4

b)

64

c)

60

d)

8

33.

A data set can have more than one median?

a)

True

b)

False

34.

A data set can have more than one mode

a)

True

b)

False

35.

To find the average 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

36.

What is the mode?

a)

# happening the most

b)

the average

c)

biggest - smallest

d)

the middle #

37.

What is the range?

a)

average

b)

biggest-smallest

c)

the middle #

d)

# happening the most

38.

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

39.

In order to find the median, the data must be sorted from least to greatest first.

a)

True

b)

False

40.

It is possible to have three numbers in the middle of a data set.

a)

True

b)

False

41.

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

42.

The mode score on the 6th grade math test was 94! Which of these interpretations must be correct?

a)

94 was the highest score on the test.

b)

More students received a 94 than any other score

c)

No student scored below a 94

d)

A score of 91 was slightly below average.

43.

Given the set of data below, what would be the most meaningful measure?
1, 1, 1, 1, 1, 1, 1, 1, 1, 21

a)

Mean

b)

Median

c)

Mode

d)

Range

44.

If a data set is bimodal, how many modes does it have?

a)

1

b)

2

c)

3

d)

4

45.

A number that is either MUCH larger or MUCH smaller than the rest of the numbers is a(n)

a)

outlier

b)

inlier

c)

lier

d)

I'm lying

46.

If you have two numbers in the middle, you should

a)

add them together and divide by two

b)

find the number in between the two

c)

find the mean of the two numbers

d)

all of these

47.

If a number is added to the set that is near the mean, how does this affect standard deviation?

a)

increase

b)

decrease

c)

stay the same

d)

both increase and decrease

48.

If a number is added to the set that is in the middle of the data, how does this affect the range?

a)

increase

b)

decrease

c)

stay the same

d)

both increase and decrease

49.

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

50.

If 10 is added to every value in a set of data, what will happen to the value of the median?

a)

it will increase by 10

b)

it will decrease by 10

c)

it will stay the same

d)

it will both increase and decrease

51.

Which of the following is a measure of variability?

a)

mean

b)

median

c)

mode

d)

standard deviation

52.

What is the mode?

a)

Number that occurs the most

b)

The Average

c)

The difference between the highest and lowest values

d)

The Number in the middle

53.

What is the mean?

a)

The number that occurs the most

b)

The number in the middle

c)

The difference between the highest and lowest values

d)

The Average

54.

What is the median?

a)

The number in the middle

b)

The difference between the highest and lowest values

c)

The number that occurs the most

d)

The average

55.

When finding the median what is the FIRST step?

a)

Mark off the lowest number

b)

Mark off the highest number

c)

Find the Middle

d)

Arrange the number from Least to Greatest

56.

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

57.

Find the mean of these numbers:

2, 57, 38, 42, 6

a)

29

b)

38

c)

50

d)

145

58.

What is the first step when calculating the Mean Absolute Deviation?

a)

Find the distance each value is from the mean

b)

Find the mean of the distances

c)

Find the mean of the data

59.

What is the second step when calculating the Mean Absolute Deviation?

a)

Find the distance each value is from the mean

b)

Find the mean of the distances

c)

Find the mean of the data

60.

What is the third step when calculating the Mean Absolute Deviation?

a)

Find the distance each value is from the mean

b)

Find the mean of the distances

c)

Find the mean of the data

61.

Find the Mean Absolute Deviation: 10, 9, 3, 8, 10. The Mean is 8

a)

3

b)

5

c)

1

d)

2

62.

Which mean absolute deviation would have a greater variability or spread? 4.2 or 8.5?

a)

4.2

b)

8.5

63.

Which dot plot shows more consistency? a or b?

a)

a

b)

b

64.

How do you find the Interquartile Range?

a)

divide the 3rd quartile by the 1st quartile

b)

subtract the biggest number by the smallest number

c)

divide the biggest number by the smallest number

d)

subtract the 3rd quartile by the 1st quartile

65.

What is the outlier in this data set?

{23, 60, 30, 21, 25, 35, 29}

a)

35

b)

21

c)

30

d)

60

66.

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

67.

What is the IQR?

a)

5.5

b)

4

c)

4.5

d)

6

68.

What is the IQR?

a)

5.5

b)

4

c)

4.5

d)

6

69.

Which car club has the higher median?

a)

Cruisers

b)

Car Hops

70.

What data value is the upper quartile (Q3)?

a)

64

b)

62

c)

66

d)

58

71.

Which club has the smaller spread?

a)

Cruisers

b)

Car Hops

72.

75% of the Cruisers went to more than 13 car shows. True or False?

a)

True

b)

False

73.

Find the mean of these numbers:
5,11,2,12,4,2

a)

4.1

b)

6

c)

4.5

d)

4

74.

The data set below has an outlier of 42.
2, 5, 12, 15, 19, 4, 6, 11, 16, 18, 12, 12, 42
What effect does removing the outlier have on the distribution of the data?

a)

The mean will decrease

b)

The median will decrease

c)

The mean will increase

d)

The median will increase

75.

Find the mode:
5, 0, 9, 9, 3, 0, 5, 5, 4

a)

9

b)

5

c)

3

d)

7

76.

Find the median:
5, 6, 3, 9, 0, 4, 1, 2, 7

a)

4

b)

4.1

c)

5

d)

4.5

77.

Identify the outlier for the given data?
23, 34, 27, 7, 30, 26, 28, 31, 34

a)

7

b)

23

c)

31

d)

34

78.

Which measure of center best represents this set of data?
12, 13, 11, 16, 31, 14, 10, 15

a)

Mean

b)

median

c)

mode

79.

What measure of center is best to use when we have outliers?

a)

mean

b)

median

c)

mode

d)

range

80.

It is possible to have three numbers in the middle of a data set.

a)

True

b)

False

81.

What is the maximum value?

a)

58

b)

66

c)

64

d)

60

82.

11. What percentage of the data is between 90 and 140?

a)

25 %

b)

50%

c)

75%

d)

100%

83.

What is the interquartile range (IQR)?

a)

4

b)

64

c)

60

d)

8

84.

The Table above shows the points scored by the JV basketball team in their first seven games. Calculate the mean, median, mode and range. Which statistical measure makes the team sound the best?

a)

Mean

b)

Median

c)

Mode

d)

Range

85.

What is the range?

a)

10

b)

12

c)

15

d)

2 - 12

86.

What is the Mode?
22,7,22,1,7,18,18,16,6,6,7

a)

7

b)

18

c)

21

d)

6

87.

The interquartile range (IQR) of a data set is the difference between the third and first quartiles. It represents the range of the middle half of the data.

a)

True

b)

False

88.

Paulo got these grades in three tests: 72, 80 and 82. He had one more test to take. He wanted an average of 80 for the four tests. What mark must he get in the fourth test?

a)

80

b)

234

c)

It is not possible for him to get an 80 average

d)

86

89.

Ms. Rork's class had a range of test grades from 78 to 97. She forgot to add in a student who got an 80% on the test. How will this affect the range?

a)

Increase

b)

Decrease

c)

Stay the Same

90.

The mode score on the 6th grade math test was 94! Which of these interpretations MUST be correct?

a)

94 was the highest score on the test.

b)

More students received a 94 than any other score

c)

No student scored below a 94

d)

A score of 91 was slightly below average.

91.

What is the first quartile?

a)

4

b)

5

c)

6

d)

7

92.

What is the interquartile range?

a)

3

b)

6

c)

4

d)

5

93.

What is the range?

a)

6

b)

2 - 8

c)

3

d)

4

94.

What is the first quartile?

a)

4

b)

5

c)

6

d)

7

95.

What is the third quartile?

a)

4

b)

5

c)

6

d)

7

96.

What is the interquartile range?

a)

3

b)

6

c)

4

d)

5

97.

What is the range?

a)

27

b)

12

c)

25

d)

13 - 40

98.

What is the first quartile?

a)

20

b)

26

c)

32

d)

13

99.

What is the third quartile?

a)

32

b)

26

c)

20

d)

31

100.

What is the interquartile range?

a)

12

b)

27

c)

15

d)

18

101.

What is the range?

a)

60

b)

22.5

c)

67

d)

35

102.

What is the first quartile?

a)

48.5

b)

67

c)

45

d)

52

103.

What is the third quartile?

a)

71

b)

70

c)

72

d)

67

104.

What is the interquartile range?

a)

22.5

b)

35

c)

60

d)

50

105.

What percent of the data is between 20 and 32?

a)

50%

b)

25%

c)

75%

d)

100%

106.

What is the range?

a)

10

b)

12

c)

15

d)

2 - 12

107.

What is the first quartile?

a)

3

b)

4

c)

2

d)

6

108.

What is the third quartile?

a)

7

b)

6

c)

8

d)

3

Measures of Dispersion

Total questions: 108

Worksheet time: 6hrs 49mins

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