In: Statistics and Probability
Determine the missing frequency in the following frequency distribution, when it is known that arithmetic mean = 11.0917 and total sample size N = 60?
Solution:
Calculate ∑fi (N=60) and ∑xifi as follows:
So, from above: f1 = 29 - f2; and ∑xifi = 352.5 + 10.5f1 + 11f2.
Replace f1 = 29 - f2 in ∑xifi = 352.5 + 10.5f1 + 11f2 and proceed as follows:
Thus, the missing frequencies are
f1 = 12 and f2 = 17
The missing frequencies are
f1 = 12 and f2 = 17