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Measures of Center and Variability

Total questions: 36

Worksheet time: 2hrs 5mins

Name
Class
Date
1.
Find the mean of these numbers:
5,11,2,12,4,2
a)
4.1
b)
6
c)
4.5
d)
4
2.
Find the mode:
5, 0, 9, 9, 3, 0, 5, 5, 4
a)
9
b)
5
c)
3
d)
7
3.
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
4.
Identify the outlier for the given data?
23, 34, 27, 7, 30, 26, 28, 31, 34
a)
7
b)
23
c)
31
d)
34
5.

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

a)

mean

b)

median

c)

mode

d)

range

6.
Which measure of center best represents this set of data?
12, 13, 11, 16, 31, 14, 10, 15
a)
Mean
b)
median
c)
mode
7.
What is the maximum value?
a)
58
b)
66
c)
64
d)
60
8.
What is the interquartile range (IQR)?
a)
4
b)
64
c)
60
d)
8
9.

What is the range?

a)

10

b)

12

c)

15

d)

2 - 12

10.
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
11.

What is the first quartile?

a)

4

b)

5

c)

6

d)

7

12.

It's the number you get when you add all the numbers together and then divide by the amount of numbers you have.

a)

mean

b)

median

c)

mode

d)

range

13.

It's the middle number in a set of data.

a)

mean

b)

median

c)

mode

d)

range

14.

It's the number that occurs the most times in a set of data.

a)

mean

b)

median

c)

mode

d)

range

15.

Which Box and Whisker Plot has the least variation in its data?

a)

The Cruisers

b)

The Car Hops

16.

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

17.

What is the IQR?

a)

5.5

b)

4

c)

4.5

d)

6

18.
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
19.
a)
Kim's scores are more consistent.
b)
Caleb's scores are more consistent.
c)
Both scores have the same consistency!
d)
Not enough information is provided.
20.
The number of text messages that Isaac received each day for a week is shown: 47, 49, 54, 50, 48, 47, 55
What is the mean and median
a)
Mean=49
Median=54
b)
Mean=49 
Median=50
c)
Mean=50 
Median=54
d)
Mean=50
Median=49
21.
The range is the difference between the greatest and the least data values.
a)
True
b)
False
22.

Find the IQR (inter quartile range) using the following data.

18, 15, 22, 16, 17, 15, 12, 22, 13

a)

14

b)

20

c)

6

d)

16

23.

__________ are values that divide the data set into four equal parts.

a)

outliers

b)

average

c)

measures of variation

d)

quartiles

24.

Extremely high or low values in a data set are called __________ .

a)

outliers

b)

median

c)

mode

d)

first quartile

25.

__________ are used to describe the distribution, or spread, of the data.

a)

third quartile

b)

median

c)

measures of variation

d)

quartiles

26.

The __________ is the median of the upper half of the set of data.

a)

mode

b)

average

c)

outliers

d)

third quartile

27.
Which class has the higher test score median? 
a)
Class #1
b)
Class # 2 
c)
The medians are equal
d)
The median is not shown here. 
28.
Which class was more consistent in their Algebra Scores?
a)
Class #2
b)
Class #1
c)
Both classes had the same consistency.
d)
50%
29.

Which restaurant has a greater IQR?

a)

Lucy's Steakhouse

b)

Gary's Grill

c)

They are the same

30.

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

a)

True

b)

False

31.

Mean, median, and mode are all measures of...

a)

variability

b)

center

c)

gap

d)

spread

32.

Find the range of the data.

63, 71, 65, 66, 87, 53

a)

32

b)

33

c)

34

d)

35

33.

What is the median height?

a)

4 inches

b)

14 inches

c)

24 inches

d)

32 inches

34.

What is the upper quartile?

a)

14 inches

b)

24 inches

c)

32 inches

d)

36 inches

35.

Look at the box plot. Which statement is true?

a)

500 minutes is the mean

b)

500 minutes is the median

c)

490 is the mean

d)

490 is the median

36.

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

23, 33, 25, 16, 27, 43, 29, 40, 35

a)

Median: 29

First Quartile: 24

Third Quartile: 37.5

IQR: 13.5

b)

Median: 27

First Quartile: 25

Third Quartile: 35

IQR: 10

c)

Median: 29

First Quartile: 25

Third Quartile: 37.5

IQR: 12.5

d)

Median: 27

First Quartile: 24

Third Quartile: 35

IQR: 11

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