Question

For each part of this problem, create two sets (set A and set B) that include at least five numbers each, use only non-zero whole numbers, and fit the given description.

The means are the same, but the standard deviation of set A is smaller than the standard deviation of set B.
a) Set A: 1, 2, 2, 3, 4, Set B: 1, 3, 4, 5, 6
b) Set A: 2, 2, 2, 2, 2, Set B: 1, 2, 3, 4, 5
c) Set A: 1, 3, 5, 7, 9, Set B: 2, 4, 6, 8, 10
d) Set A: 1, 1, 1, 2, 2, Set B: 1, 2, 3, 4, 5

Answer 1

To create sets A and B with different standard deviations but the same mean, we can use different combinations of numbers.

Step-by-step explanation:

To create sets A and B with different standard deviations while having the same mean, we can use different combinations of numbers. Let's take a look at each part of the problem:

a) Set A: 1, 2, 2, 3, 4, Set B: 1, 3, 4, 5, 6

b) Set A: 2, 2, 2, 2, 2, Set B: 1, 2, 3, 4, 5

c) Set A: 1, 3, 5, 7, 9, Set B: 2, 4, 6, 8, 10

d) Set A: 1, 1, 1, 2, 2, Set B: 1, 2, 3, 4, 5