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The mean weig...

Question

The mean weight of 5 boys is 50 kg. The individual weights of four of them are 40kg, 43kg, 50kg and 65kg. Find the weight of the fifth boy.

62 kg

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42 kg

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52 kg

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72 kg

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Solution

The correct option is C 52 kg
Given,
Mean = 50 kg
$\frac{S u m o f a l l w e i g h t s}{T o t a l n u m b e r o f b o y s}$ = 50kg
let the weight of fifth boy be x kg.
$\frac{40 + 43 + 50 + 65 + x}{5} = 50 k g$
$\frac{198 + x}{5}$ = 50
x = 250-198 = 52kg
$∴$ The weight of fifth boy is 52 kg.

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The mean weight of 70 Students in a class is 60 kgs. The mean weight of boys is 70 kgs while that of girls is 50 kgs.

Find the number of boys in the class.

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