Answer:
A = {1,2,3,4,5}
B = {5,6,7,8,9}
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Step-by-step explanation:
Consider the set
A = {1,2,3,4,5}
The mean is found by adding up all the values to get 15, then divide by the number of values (5) to get 15/5 = 3
The standard deviation is a bit more complicated, and it depends which version you select (sample vs population). Let's say we go for the population standard deviation. Using a calculator gets us a population standard deviation of roughly 1.414; this value tells us how spread out the data set is. The higher the value, the more spread out the data set will be.
Now consider adding some fixed value to each item in set A. Let's add 4 to each value
We go from A = {1,2,3,4,5} to B = {5,6,7,8,9}
If you were to use a calculator, then the population standard deviation is still roughly 1.414 but the mean is now 7. The standard deviation hasn't changed because the values are still spread out the same way.
Note: infinitely many answers are possible for sets A and B.