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  • A class consists of 50 students out of which 30 are girls. The mean of marks scored by girls in a test is 73 (out of 100) and that of boys is 71. Determine the mean score of the whole class.

A class consists of 50 students out of which 30 are girls. The mean of marks scored by girls in a test is 73 (out of 100) and that of boys is 71. Determine the mean score of the whole class.

 

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Answer: 72.2

A class consists of 50 students out of which 30 are girls.

The mean marks of 30 girls =73

Total score of 30 girls

= 73 \times 30 = 2190.

Now, number of boys are

50 - 30 = 20.

The mean marks of 20 boys =71

Total score of boys

= 71 \times 20 = 1420

\RightarrowHere, the total score of whole class = Total score of all girls + Total score of all boys

= 2190 + 1420 = 3610.

  \text{Mean of all students}=\frac{\text{Total marks of all students} }{\text {Total number of students}}

=\frac{3610}{50}=72.2

Hence, the mean of whole class is 72.2.

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