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Measures of Central Tendency & Spread: Mean/Median/Mode/Quartile

Total questions: 47

Worksheet time: 1hrs 11mins

Name
Class
Date
1.

What are the three measures of central tendency? (Check all the apply)

a)

range

b)

median

c)

quartile

d)

mode

e)

mean

2.

The highest number minus the lowest number in a set of data is called the __________

a)

mean

b)

range

c)

median

d)

maximum

3.

The number that occurs most often in a data set is called the __________

a)

mean

b)

median

c)

mode

d)

range

4.

The middle number in an ordered set of data is called the ___________

a)

mean

b)

median

c)

mode

d)

range

5.
In order to find the median, the data must be sorted from least to greatest first.
a)
True
b)
False
6.

The average is called the __________

a)

mean

b)

median

c)

mode

d)

range

7.

Which of the following are measures of spread? (check all that apply)

a)

mode

b)

range

c)

lower quartile

d)

upper quartile

e)

interquartile range

8.

The ___________ describes how similar or varied the set of observed values are for a particular data item.

a)

central tendency

b)

range

c)

spread

d)

quartile

9.

A way to describe the concentration and the spread of data in a set is a _____________

a)

histogram

b)

stem-and-leaf plot

c)

box-and-whisker plot

d)

line graph

10.

The _________ is the difference between the upper quartile and the lower quartile.

a)

range

b)

interquartile range

c)

outlier

d)

median

11.

_________ are numbers that are far away from all other data values in the set.

a)

Mode

b)

Histogram

c)

Outliers

d)

Range

12.

When you are trying to find the MEDIAN of a set of data and 2 numbers are left in the middle after putting them in order from least to greatest, what do you do?

a)

List both numbers as the median

b)

Add the 2 numbers and divide by 2

c)

Pick the one you want

d)

Subtract the 2 numbers

13.

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)

10

b)

12

c)

10 and 12

d)

No Mode

14.
What percent of the data is between 25 and 30 on the number line?
a)
25%
b)
`50%
c)
75%
d)
100%
15.
6. Which city has a higher median?
a)
Millersburg
b)
Arcadia
16.
a)

A. Mean

b)

B. Median

c)

C. Mode

d)

D. Range

17.
a)

A. Mean and Mode

b)

B. Mean and Median

c)

C. Least and Greatest Value

d)

D. Lower and Upper Quartile

18.
Which box and whisker plot has the smallest lower quartile (Q1)?
a)
Top plot
b)
Bottom plot
19.
Which plot has a larger interquartile range?
a)
Top plot
b)
Bottom plot
20.

What is the maximum value?

a)

3

b)

8

c)

10

d)

18

21.

The "box" in a box-and-whisker plot contains ALL of the following EXCEPT...

a)

Maximum

b)

Quartile 1

c)

Quartile 3

d)

Median

22.

For the data set shown, what is the median?

{10, 12, 14, 14, 16, 18, 20, 20}

a)

14

b)

15

c)

15.5

d)

16

23.

Find the median, first quartile, third quartile, and interquartile range of the data.

32, 53, 72, 66, 47, 54, 49, 67, 71

a)

Median: 54

First Quartile: 49

Third Quartile: 67

IQR: 18

b)

Median: 54

First Quartile: 48

Third Quartile: 69

IQR: 21

c)

Median: 54

First Quartile: 48

Third Quartile: 69

IQR: 22

d)

Median: 54

First Quartile: 49

Third Quartile: 69

IQR: 20

24.

What kind of data representation do you see in the picture?

a)

Dot Plot

b)

Stem and Leaf Plot

c)

Frequency Table

25.

How many dogs competed in the dog show?

a)

6

b)

14

c)

20

26.

What is the greatest amount of minutes spent on daily homework?

a)

36

b)

74

c)

77

27.

What is the mean of the following data set? 133,140,98,98,140,119,119

a)

42

b)

98

c)

119

d)

121

28.

What is the median 133,140,98,98,140,119,119.

a)

200

b)

96

c)

119

d)

121

29.

Find the mode of 34,48,87,56,87,51,29

a)

34

b)

48

c)

87

d)

56

30.
How many students were greater than or equal to 60 inches tall?
a)
21
b)
11
c)
17
d)
6
31.
How many cities have temperatures between 70 degrees and 99 degrees?
a)
44
b)
34
c)
26
d)
62
32.

How many students are represented by the histogram?  

a)
Cannot be determined
b)
9
c)
31
d)
35
33.
What percent of students have heights between 60 inches and 66 inches?
a)
75%
b)
50%
c)
100%
d)
25%
34.

The box-and-whisker plots below show the scores earned by 6th and 7th graders on a year-end reading test.  

Which statement is best supported by the box-and-whisker plots?

a)

The range of the 7th grade scores is greater than the range of the 6th grade scores.

b)

The median of the 6th grade scores is greater than the median of the 7th grade scores.

c)

The mean of the 7th grade scores is less than the mean of the 6th grade scores.

d)

The number of 6th graders who took the test is greater than the number of 7th graders who took the test.

35.

The ages of the starting players of two soccer teams are shown below.

Tarrasques: 16, 18, 15, 14, 17, 17, 18, 16, 17, 14, 17

Dragons: 18, 14, 17, 15, 15, 14, 16, 18, 16, 18, 16

Based on this data, select all the true statements below.

a)

The median of ages on the Tarrasques team is greater than the median of ages on the Dragons team.

b)

The mean of the ages on the Tarrasques team is greater than the median of the ages on the Dragons team.

c)

The median of ages on the Tarrasques team is one greater than the range of ages on the Dragons team.

d)

The mean of the ages on the Tarrasques team is less than the mean of the ages on the Dragons team.

e)

The mean of the ages on the Tarrasques team is greater than the mean of the ages on the Dragons team.

36.

The dot plots below show the number of customers at Mr. Burger and Mr. Chicken during rush hour over the course of 10 days.  

                          Which statement correctly compares the distribution of the number of customers at each restaurant during rush hour?

a)

Mr. Burger's number of customers during rush hour, is greater than Mr. Chicken's number of customers during rush hour.

b)

Mr. Burger's median number of customers during rush hour, is greater than Mr. Chicken's median number of customers during rush hour.

c)

There is more variability in Mr. Chicken's number of customers during rush hour, than Mr. Burger's number of customers during rush hour.

d)

There is less variability in Mr. Chicken's number of customers during rush hour, than Mr. Burger's number of customers during rush hour.

37.

 

The data below shows the scores of two groups of ten students on a math quiz and a science quiz.            

Math: 72, 92, 88, 67, 54, 58, 64, 76, 65, 72            

Science: 84, 78, 56, 89, 54, 68, 75, 78, 84, 60

Based on the data, which statements are true?

a)

The median score was greater for math, but the variability was greater for science.

b)

The median score was greater for science, but the variability was greater for math.

c)

Both the median score and variability for the math scores are less than that of the science scores.

d)

Both the median score and variability of the math scores are greater than that of the science scores.

e)

The range for science is less than the range for math.

38.

The box and whisker plots below, illustrate the scores earned by 2 biology classes on a recent test.               

Select all statements that are supported by the plots above.

 

a)

The range of the 3rd period scores is less than the range of the 5th period scores.

b)

The median of the 5th period scores is greater than the median of the 3rd period scores.

c)

The number of students who took the test is larger in the 5th period class than in the 3rd period class.

d)

The interquartile range is the same for both classes.

e)

The 3rd period class has a higher median but has a lower range than the 5th period class.

39.

A data set shows the number of minutes each of 153,477 students takes to complete a reading test. The median completion time is 110 minutes. The interquartile range is 34. Which statement about the completion times is MOST LIKELY to be true?

a)

Of these students, 25% complete the test in 110 minutes or less.

b)

Of these students, 50% complete the test in 110 minutes or less.

c)

Of these students, 75% complete the test in 127 minutes or less.

d)

Of these students, 75% complete the test in 144 minutes or less.

40.

What is the interquartile range (IQR)?

a)

20

b)

25

c)

30

d)

50

41.
What is the maximum value?
a)
58
b)
66
c)
64
d)
60
42.
What is the minimum value?
a)
64
b)
58
c)
66
d)
60
43.
What value is the lower quartile?
a)
66
b)
58
c)
60
d)
64
44.

What is the range of this data set?

a)

6

b)

12

c)

13

d)

19

45.

What is the median of this data set?

a)

8

b)

12

c)

15

d)

19

46.

What do points B and D represent on the box plot?

a)

Mean and Mode

b)

Mean and Median

c)

Least and Greatest Value

d)

First and Third Quartiles

47.

What does point C on the box plot represent?

a)

First Quartile

b)

Median

c)

Third Quartile

d)

Mean