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A class consists of 50 students out of which 20 are girls. The mean mark scored by girls in a test is 75 (out of 100) and that of boys is 73. Determine the mean score of the whole class.

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70.2

71.5

73.8

answer is C.

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Detailed Solution

It is given that there are 20 girls in a class of 50.
The mean mark scored by girls in a test is 75 (out of 100) and that of boys is 73.
We have to find the mean score of the whole class.
Let

x 1, x 2, ...., x n

be the numbers, then Mean =

x 1 + x 2 + .... + x n n

.
The mean of the class in a test in a test is given by,

= 75 (20) + 73 (30) 50 = 369050

By simplification,

= 73.8

The mean score of the class is 73.8 marks.
Hence, option 3 is correct.

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