Question

A class has 26 boys and 14 the mean weight of boys in the class is 40kg and the mean weight of gorls js 35kg find the mean weight of the students of the clas

Answer 1

The mean weight of the students of the class is 38.25 kg.

Step-by-step explanation:

The formula to compute the combined mean is:

$\bar X=\frac{n_{1}\bar x_{1}+n_{2}\bar x_{2}}{n_{1}+n_{2}}$

Given:

$n_{1}=26\\n_{2}=14\\\bar x_{1}=40\\\bar x_{2}=35$

Compute the combined mean weight of the entire class as follows:

$\bar X=\frac{n_{1}\bar x_{1}+n_{2}\bar x_{2}}{n_{1}+n_{2}}=\frac{(26\times 40)+(14\times 35)}{26+14}=38.25$

Thus, the mean weight of the students of the class is 38.25 kg.

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