Q7 of 44 Page 80

The mean weight of 6 boys in a group is 48kg. The individual weights o 5 of them are 50kg, 45kg, 50kg, 42kg and 40kg. Find the weight of the sixth boy.

Given is that, mean weight of 6 boys = 48 kg

Mean is given by,



Where, ∑x = sum of all observations


& n = total number of observations


Here, n = 6 and mean = 48.


Let the weight of 6th boy be x.


So,


⇒


⇒ 227 + x = 48 × 6


⇒ 227 + x = 288


⇒ x = 288 – 227


⇒ x = 61


Thus, weight of the sixth boy is 61 kg.


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