Question

In a series of 20 observations, 10 observations are each equal t k, and each of the remaining halves is equal to –k. If the standard deviation of the observation is 2, then write the value of k.

Answer 1

Given, n = 20, 

d_i = x_i - a 

Where a = \(\frac{\Sigma x_i}{n}\)

d_i = x_i -   \(\frac{\Sigma x_i}{20}\)

d_i = x_i - 0

d_i = x_i 

K = ±2