Question

Three datasets A, B, C are given as following. All of them have the same sample size n = 6 and sample mean x = 0. Sort the standard deviations sA, sB, sC from the smallest to the largest.

a) sA < sB < sC
b) sB < sA < sC
c) sA < sC < sB
d) sC < sA < sB

Answer 1

To sort the standard deviations from smallest to largest, calculate the standard deviation for each dataset and compare them.

Step-by-step explanation:

1. Calculate the standard deviation for each dataset A, B, and C.
2. Compare the standard deviations and arrange them from smallest to largest.
3. Based on the calculations, determine which of the given options accurately sorts the standard deviations from smallest to largest.

For example, if sA = 2, sB = 3, and sC = 4, the correct sorting would be sA < sB < sC.