SOLUTION: Make up three data sets with 5 numbers each that have: a) the same mean but different standard deviations. b) the same mean but different medians. c) the same median but differe

Question 1181797: Make up three data sets with 5 numbers each that have:
a) the same mean but different standard deviations.
b) the same mean but different medians.
c) the same median but different means.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
keeping it simple
a 1-2-3-4-5.
0-1-3-5-6
1-1-3-5-5
The sum is the same so the means are. The variability is different
-
b.1-2-3-4-5
1-1-1-4-8
0-0-0-7-8
The sums are the same but the middle number is not.
-
c. 1-2-3-4-5
1-2-3-50-75
-8,-75, 3,200,800000
The middle number is the same but the sum is not.
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