There are 40 students in a class, out of them 15 are boys. The mean of marks obtained by boys is 33 and that for girls is 35. Find out the mean of all students in the class.

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Solution

We have,

Number of students in a class = 40, and

Number of boys in a class = 14,

Mean of marks obtained by boys = 33, and

Mean of marks obtained by girls = 35

Number of girls in the class = $40 - 15 = 25$

Sum of marks obtained by boys = $33 \times 15 = 495$ , and

Sum of marks obtained by girls = $35 \times 25 = 875$

So, the mean of all students in the class = $\frac{495 + 875}{40} = \frac{1370}{40} = 34.25$ .

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