Question

The mean weight of 6 boys in a group is 48 kg the individual weight of 5 of them are 51 kg 45 kg 49 kg 5046 kg and 44 kg find the weight of the six ball

Answer 1

$\boxed{\bold{\large{Answer:}}}$

$\text{Let\:the\:weight\:of\:the\:6th\:boy\:be\:x}$

$\text{Sum\:of\:Observations\:=\:51+45+49+46+44+x\:=235+x}$

$\text{Total\:Observations\:=\:6}$

$Mean = \frac{Sum \: Of \: Observations}{Number \: Of \: Observations} \\ \\ \implies48 = 235 + \frac{x}{6} \\ \\ \implies235 + x = 6 \times 48 \\ \\ \implies235 + x = 288 \\ \\ \implies \: x = 288 - 235 \\ \\ \implies \: x = 53$

$\text{Thus,the\:weight\:of\:the\:6th\:boy\:is\:53kg}$

$\boxed{\bold{\large{Hope\:it\:helps\:you!}}}$

Answer 2

Here is your solution

Given :-

Total Observations = 6 

Sum of Observations=51+45+49+46+44+x=235+x

Let,

The weight of the 6th boy be x

Mean=Number Of Observations/Sum Of Observations​

=>48=(235+x)/6

=>​235+x=6×48

=>235+x=288

=>x=288−235

=>x=53​

Hence,

The weight of the 6th boy is 53kg.

Hope it helps you