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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Statistics - Mean with Value Changed
1
13, 15, 11, 9, 17 Change a 11 to change the mean to 12
What can the indicated number can be changed to for these numbers to have the given mean
a
6
b
10
c
8
d
1
e
7
f
2
2
19, 9, 16, 13, 18 Change a 13 to change the mean to 16
What can the indicated number can be changed to for these numbers to have the given mean
a
17
b
21
c
14
d
19
e
18
f
20
3
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
2
b
10
c
9
d
7
e
0
f
5
4
10, 11, 2, 1, 6 Change a 6 to change the mean to 5
What can the indicated number can be changed to for these numbers to have the given mean
a
1
b
0
c
5
d
6
e
3
f
4
5
0, 10, 20, 3, 7 Change a 10 to change the mean to 7
What can the indicated number can be changed to for these numbers to have the given mean
a
5
b
1
c
10
d
4
e
6
f
8
6
3, 5, 15, 9, 3 Change a 15 to change the mean to 10
What can the indicated number can be changed to for these numbers to have the given mean
a
32
b
24
c
33
d
30
e
27
f
29
7
6, 7, 2, 9, 1 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
22
b
25
c
23
d
21
e
20
f
24
8
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
7
b
14
c
16
d
10
e
13
f
15