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Effects on Measure of Center

Total questions: 15

Worksheet time: 41mins

Name
Class
Date
1.

What happens if 25 is added to the following data set?

75, 87, 99, 73,

a)

the mode increase

b)

the mean increases

c)

the mean decreases

d)

the median increases

2.

What happens if 45 is removed from the data set?


35, 45, 22, 32, 43, 45, 45

a)

the mode will decrease

b)

the mode will stay the same

c)

the mean will increase

3.

What will happen to the median if a 8 is added to the data set?

8, 2, 5, 9, 8

a)

the median will increase

b)

the median will decrease

c)

the median will stay the same

4.

What happens to the mode if 98 is removed from the data set?


100, 102, 36, 98, 99, 98, 100

a)

there will be no mode

b)

the mode will be 98

c)

the mode will be 98 and 100

d)

the mode will be 100

5.
Find the mean:
28, 18, 19, 18, 17
a)
20
b)
18
c)
11
d)
19
6.
Find the mode:
5, 0, 9, 9, 3, 0, 5, 5, 4
a)
9
b)
5
c)
3
d)
7
7.
Can there be more than one mode?
a)
Yes
b)
No
8.
When finding the median, what do you do if there are two middle numbers?
a)
Add them together and divide by 2
b)
Write them both as the answer
c)
Give up
d)
Pick one
9.
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

10.
Identify the outlier for the given data?
23, 34, 27, 7, 30, 26, 28, 31, 34
a)

7

b)

23

c)

31

d)

34

11.

Your math grades are {0, 80, 90, 90, 90, 100} If the outlier is removed, what will happen?

a)

The median will increase

b)

The median will decrease

c)

The mean will increase

d)

The mean will decrease

12.

The number of pages that Maycee 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

13.
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

14.
Which measure of center best represents this set of data?
red, blue, red, yellow, red, green, black, red, white, red, red
a)
Mean
b)
median
c)
mode
15.

What is the best measure to describe the data set : 6, 35, 8, 20, 6, 16, 7?

a)

mean

b)

median

c)

mode