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Measures of Center & Box Plots

Total questions: 25

Worksheet time: 36mins

Name
Class
Date
1.

To find the mean of a set of numbers, you must first list the numbers from smallest to greatest.

a)

True

b)

False

2.

Carlos needs to find the median of a set of numbers. He determines that there are two numbers in the middle of his data set. The numbers are 18 and 21. What is the median?

a)

18

b)

19

c)

19.5

d)

20

e)

21

3.

Wanda writes the numbers in her data set in order from smallest to greatest:

14, 15, 16, 19, 21, 25, 28, 30, 30, 31, 34, 40, 42, 45, 45, 50

What is the median of this set of numbers?

a)

14

b)

26

c)

30

d)

36

4.

Here is Wanda's set of numbers again.

14, 15, 16, 19, 21, 25, 28, 30, 30, 31, 34, 40, 42, 45, 45, 50 Which list represents the LOWER half of the data?

a)

14, 15, 16, 19, 21, 25, 28

b)

14, 15, 16, 19, 21, 25, 28, 30

c)

14, 15, 16, 19, 21, 25, 28, 30, 30

d)

30, 31, 34, 40, 42, 45, 45, 50

5.

Here is Wanda's set of numbers again:

14, 15, 16, 19, 21, 25, 28, 30, 30, 31, 34, 40, 42, 45, 45, 50

What is Q1 (first quartile) for this data set?

a)

14

b)

19 or 21

c)

20

d)

36

6.

Here is Wanda's set of numbers again.

14, 15, 16, 19, 21, 25, 28, 30, 30, 31, 34, 40, 42, 45, 45, 50

What is the range?

a)

14

b)

50

c)

26

d)

36

7.

Here is Wanda's set of numbers again:

14, 15, 16, 19, 21, 25, 28, 30, 30, 31, 34, 40, 42, 45, 45, 50

What is the mode?

a)

There is no mode.

b)

36

c)

30

d)

30 and 45

e)

45

8.

Wanda wants to find the mean (average) of her set of numbers. She thinks that mean must be one of the numbers in her set. Is Wanda correct?

a)

No

b)

Yes

9.

Here is Wanda's set of numbers again.

14, 15, 16, 19, 21, 25, 28, 30, 30, 31, 34, 40, 42, 45, 45, 50

What is the mean (average) of her numbers? Wanda is going to use a calculator. You can too.

a)

30

b)

485

c)

30.3125

d)

32.375

10.

Wally organizes his set of numbers from smallest to largest:

54, 60, 62, 62, 65, 67, 70, 71, 71, 72, 75, 75, 75, 77, 79

What is the median of Wally's set?

a)

54

b)

79

c)

25

d)

71

e)

75

11.

Here is Wally's set of numbers again:

54, 60, 62, 62, 65, 67, 70, 71, 71, 72, 75, 75, 75, 77, 79

What is Q1 (quartile 1) for Wally's set?

a)

There is no Q1.

b)

54

c)

62

d)

75

12.

Here is Wally's set of numbers again:

54, 60, 62, 62, 65, 67, 70, 71, 71, 72, 75, 75, 75, 77, 79

What is Q3 (quartile 3)?

a)

75

b)

79

c)

54

d)

62

13.

Here is Wally's set of numbers:

54, 60, 62, 62, 65, 67, 70, 71, 71, 72, 75, 75, 75, 77, 79

What is the Interquartile Range (IQR)?

a)

54

b)

79

c)

13

d)

25

14.

Here are Wally's numbers. The numbers represent ages of a group of people at a Rolling Stones Tribute Concert.

54, 60, 62, 62, 65, 67, 70, 71, 71, 72, 75, 75, 75, 77, 94

The mean (average) of Wally's numbers is 70. Which statement best describes the average?

a)

Half of the people are older than 70, and half are younger than 70.

b)

If all the ages were balanced out, everyone would be 70.

c)

Most people at the concert are 70 years old.

d)

The most popular age of people at the concert is 70.

15.

The median age of people at a Post Malone concert is 16. We can conclude that . . .

a)

50% of people at the concert are younger than 16.

b)

Everyone at the concert is 16 years old.

c)

The average age of people at the concert must be 16.

d)

25% of people at the concert are 16.

16.
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
17.

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.

18.

What is the term for the median of the lower half of the data?

a)

Upper Quartile or Q3

b)

Lower Quartile or Q1

c)

Median or Q2

d)

Mean or Average

19.

Which of the following lists all the five numbers needed to make a box plot?

a)

Mean, Median, Mode, Range, and Total

b)

Minimum, Quartile 1, Median, Quartile 3, and Maximum

c)

Smallest, Q1, Q2, Q3, and Q4

d)

Minimum, Maximum, Range, Mean, and Median

20.

What percent of students have a height between 60 inches and 66 inches?

a)

25%

b)

50%

c)

75%

d)

100%

21.

What percentage of the data is between $40 and $90?

a)

25 %

b)

50%

c)

75%

d)

100%

22.

What does a quartile mean?

a)

One fourth of the data.

b)

One half of the data.

c)

I tiled my floor with quarters.

d)

3/4 of the data.

23.

Which best describes how to find the range of a set of numbers?

a)

Put the numbers in order, and determine the middle number.

b)

Subtract Q3 - Q1

c)

Add up the numbers, then divide by how many numbers there are.

d)

Choose the number that occurs the most.

e)

Subtract the smallest number from the largest number.

24.

Which list correctly shows Q1, Q2 and Q3 for this box plot?

a)

5, 8.5, 12

b)

5, 12, 20

c)

8.5, 12, 14

d)

8.5, 14, 20

25.

What percent of scores are represented in the box, from 79 to 93?

a)

25%

b)

50%

c)

75%

d)

100%