UGC NET Statistics Q13

Question

Population standard deviation (σ) and $\frac{1}{N}\sum x_i^2$ ($x_i > 0$) of different datasets are given in A-D below. Compute the population mean of each dataset and arrange in descending order.
A. $\sigma = 5, \frac{1}{N}\sum x_i^2 = 61$
B. $\sigma = 7, \frac{1}{N}\sum x_i^2 = 113$
C. $\sigma = 8, \frac{1}{N}\sum x_i^2 = 145$
D. $\sigma = 6, \frac{1}{N}\sum x_i^2 = 85$
Choose the correct answer from the options given below: