Mean with Value Changed (Level 5)

This math topic focuses on calculating the mean (average) of a set of numbers and understanding the impact of changing a specific value within the set to achieve a new mean. Each problem provides a list of numbers and tasks the learner with identifying the new value that one of the numbers can be changed to adjust the mean to a specified target. This skill is crucial for interpreting and manipulating data sets in statistics, enhancing problem-solving and analytical thinking in advanced probability and statistics contexts.

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

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Statistics - Mean with Value Changed Worksheet

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Math worksheet on 'Statistics - Mean with Value Changed (Level 5)'. 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
10, 9, -2, 1, 2 Change a 1 to change the mean to 7
What can the indicated number can be changed to for these numbers to have the given mean
a
18
b
12
c
17
d
13
e
16
f
10
2
2, 6, 33, 4, 5 Change a 33 to change the mean to 11
What can the indicated number can be changed to for these numbers to have the given mean
a
36
b
43
c
35
d
42
e
40
f
38
3
5, 10, 12, 9, 9 Change a 9 to change the mean to 8
What can the indicated number can be changed to for these numbers to have the given mean
a
8
b
7
c
1
d
9
e
2
f
4
4
10, 11, 9, 3, 12 Change a 10 to change the mean to 8
What can the indicated number can be changed to for these numbers to have the given mean
a
7
b
0
c
5
d
2
e
9
f
10
5
2, 10, 10, 10, 8 Change a 8 to change the mean to 7
What can the indicated number can be changed to for these numbers to have the given mean
a
6
b
2
c
8
d
5
e
3
f
7
6
8, 1, 10, 2, 9 Change a 8 to change the mean to 7
What can the indicated number can be changed to for these numbers to have the given mean
a
14
b
10
c
7
d
13
e
15
f
16
7
8, 6, 21, 8, 2 Change a 21 to change the mean to 12
What can the indicated number can be changed to for these numbers to have the given mean
a
34
b
40
c
36
d
37
e
38
f
35