Question For the same frequency distribution shown in the ab

Question: For the same frequency distribution shown in the above problem, the standard deviation for the number of subscriptions per household is approximately:

(a) Standard Deviation = 1.2

(b) Standard Deviation = 1.5

(c) Standard Deviation = 1.8

(d) Standard Deviation = 2.0

(e) Standard Deviation = 2.3

(f) Standard Deviation = 3.0

(g) None of the above.

Solution

Thus,      
      
Variance = [Sum(x^2f) - Sum(xf)^2/Sum(f)]/[Sum(f)-1] =    2.34122449  

Standard deviation = sqrt(Variance) =    1.530106039   or 1.5 [ANSWER, OPTION B]