Statistics - Mean Change with Value Added (Level 4)

This math topic focuses on understanding how adding a specific value to a set of numbers affects the mean of that set. It belongs to the advanced section of a probability and statistics unit, specifically covering mean, median, and mode. The exercises present sets of numbers with a stated expected change in their mean—either an increase or decrease—and ask to determine the specific values that will achieve this result. The level of this math topic is more sophisticated, requiring analytical skills to manipulate averages and reflect on the impact of numerically altering a data set.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Statistics - Mean Change with Value Added Worksheet

Math worksheet on 'Statistics - Mean Change with Value Added (Level 4)'. Part of a broader unit on 'Probability and Statistics - Mean, Median, and Mode - Advanced' Learn online: app.mobius.academy/math/units/probability_and_statistics_mean_median_mode_advanced/

1

9, 5, 1 mean decreases by 1

What number can be added for these numbers to have the given change in their mean

a

5

b

3

c

6

d

4

e

1

f

2

2

6, 8, 1 mean increases by 3

What number can be added for these numbers to have the given change in their mean

a

11

b

22

c

21

d

19

e

13

f

17

3

3, 12, 12 mean increases by 2

What number can be added for these numbers to have the given change in their mean

a

13

b

16

c

19

d

18

e

15

f

17

4

14, 14, 14 mean increases by 2

What number can be added for these numbers to have the given change in their mean

a

24

b

21

c

22

d

23

e

18

f

19

5

0, 5, 4 mean increases by 1

What number can be added for these numbers to have the given change in their mean

a

4

b

12

c

6

d

3

e

7

f

1

6

6, 12, 9 mean increases by 2

What number can be added for these numbers to have the given change in their mean

a

11

b

16

c

19

d

13

e

17

f

22

7

7, 9, 2 mean increases by 2

What number can be added for these numbers to have the given change in their mean

a

9

b

8

c

14

d

15

e

13

f

17