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# 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.

Answer :

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 6^{th} 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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