Question

Find the number of observations if the sum of the observations is 37.4 and the mean of the observations is 6.23?

(a) 9

(b) 7

(c) 6

(d) 4

This question was addressed to me in an online quiz.

My question is taken from Statistics in section Statistics of Mathematics – Class 10

Answer 1

The correct option is (c) 6

Easiest explanation: Arithmetic mean = \(\frac {Sum \, of \, the \, observations}{Number \, of \, observations}\)

6.23 = \(\frac {37.4}{Number \, of \, observations}\)

Number of the observations = \(\frac {37.4}{6.23}\)

= 6