UGC NET Logical Reasoning Q13

Question

The population standard deviation (σ) and $\frac{1}{N} \sum x_i^2 (x_i > 0)$ are given for different data sets in the following options (A to D). Calculate the population mean of each data set and arrange them in decreasing 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: