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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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
4, 8, 9 Change a 8 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
8
c
11
d
13
e
16
f
14
2
6, 3, 12 Change a 3 to change the mean to 10
What can the indicated number can be changed to for these numbers to have the given mean
a
16
b
15
c
8
d
17
e
11
f
12
3
8, 6, 4 Change a 4 to change the mean to 7
What can the indicated number can be changed to for these numbers to have the given mean
a
2
b
5
c
12
d
7
e
1
f
10
4
9, 7, 5 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
9
b
12
c
7
d
6
e
15
f
14
5
11, 5, 5 Change a 11 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
8
c
9
d
2
e
0
f
7
6
8, 6, 4 Change a 6 to change the mean to 8
What can the indicated number can be changed to for these numbers to have the given mean
a
10
b
13
c
9
d
17
e
12
f
15
7
8, 2, 11 Change a 8 to change the mean to 6
What can the indicated number can be changed to for these numbers to have the given mean
a
1
b
0
c
10
d
5
e
7
f
2