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Statistics - Mean with Value Changed (Level 2)

This topic focuses on calculating the mean of a number set after altering one of its elements. It includes problems where a specific number in a list is changed to achieve a new, specified average. These adjustments test understanding of how changing one element influences the overall average, a concept fundamental in statistics. The problems provide multiple choices for what that one number could be changed to in order to reach the desired mean, enhancing problem-solving and analytical skills.

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

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Mean with Value Changed

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


What can the indicated number can be changed to for these numbers to have the given mean

7, 3, 8

Change a 3 to change the mean to 9

Statistics - Mean with Value Changed Worksheet

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Math worksheet on 'Statistics - Mean with Value Changed (Level 2)'. 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
0, 0, 15 Change a 15 to change the mean to 4
What can the indicated number can be changed to for these numbers to have the given mean
a
12
b
7
c
15
d
16
e
6
f
13
2
1, 7, 10 Change a 10 to change the mean to 9
What can the indicated number can be changed to for these numbers to have the given mean
a
19
b
16
c
21
d
14
e
15
f
13
3
6, 5, 7 Change a 5 to change the mean to 5
What can the indicated number can be changed to for these numbers to have the given mean
a
5
b
2
c
1
d
7
e
4
f
0
4
1, 0, 17 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
9
b
1
c
4
d
6
e
5
f
7
5
4, 2, 15 Change a 15 to change the mean to 9
What can the indicated number can be changed to for these numbers to have the given mean
a
25
b
26
c
21
d
24
e
19
f
20
6
4, 11, 6 Change a 4 to change the mean to 6
What can the indicated number can be changed to for these numbers to have the given mean
a
0
b
4
c
2
d
5
e
1
f
6
7
10, 2, 6 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
12
b
13
c
15
d
10
e
17
f
16