Question

3 data sets with 5 numbers that have the same mean but different standard deviations. the same mean but different medians. the same median but different means

Answer 1

Given :  3 data sets  with 5 numbers

To Find : 3 data sets with 5 numbers that have the same mean but different standard deviations.

the same mean but different medians.

the same median but different means

Solution:

3 data sets with 5 numbers that have the same mean but different standard deviations.

Mean is same SD is different  

3   3   3  3   3

1    2   3   4  5

2    2  3   4  4

Mean is same  3 but SD is different  

the same mean but different medians.

1    2   3   4   5           Median = 3

1    2   4   4   5           Median = 4

1     2   2   5   5           Median = 2

Same Mean is 3   but different median

the same median but different means

1      2    3    5   5         Mean = 3.2

1      2   3    4    5         Mean = 3

2     2   3    5    5        Mean = 3.4

the same median 3  but different means

same median  same mean

1      1     3   5    5

1      2   3    4    5

2     2   3    4     4

same median =3 and  same mean  = 3

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