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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Statistics - Mean with Value Changed
1
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
13
b
10
c
12
d
15
e
17
f
9
2
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
20
b
19
c
24
d
21
e
26
f
25
3
7, 1, 7 Change a 7 to change the mean to 4
What can the indicated number can be changed to for these numbers to have the given mean
a
9
b
7
c
4
d
1
e
2
f
8
4
6, 1, 11 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
11
b
9
c
8
d
5
e
3
f
7
5
7, 3, 8 Change a 3 to change the mean to 9
What can the indicated number can be changed to for these numbers to have the given mean
a
12
b
16
c
13
d
7
e
15
f
9
6
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
16
b
15
c
6
d
7
e
12
f
13
7
8, 0, 13 Change a 8 to change the mean to 9
What can the indicated number can be changed to for these numbers to have the given mean
a
11
b
13
c
14
d
17
e
10
f
12
8
6, 4, 5 Change a 4 to change the mean to 4
What can the indicated number can be changed to for these numbers to have the given mean
a
5
b
1
c
3
d
4
e
0
f
2