Question 55

What is the average of 59, 63, 68. 77, 74 and 73, when each number is divided by 23?

Solution

let average of a, b ,c ,d ,e = x

then average of $$\frac{a}{k}$$, $$\frac{b}{k}$$, $$\frac{c}{k}$$, $$\frac{d}{k}$$, $$\frac{e}{k}$$= $$\frac{x}{k}$$

average of 59, 63, 68, 77, 74 and 73

$$\frac{59+63+68+77+74+73}{6}$$=$$\frac{414}{6}$$ = 69

average of 59, 63, 68, 77, 74 and 73 when each number is divided by 23 = $$\frac{69}{23}$$ = 3

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