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Question

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
72.2
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B
73.9
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C
75.6
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D
78
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Solution

The correct option is D 72.2
Total number of students=50.
Number of girls=30.
Number of boys=5030=20.
Mean marks scored by girls=73.
sum of the marks of girlsnumber of girls=mean marks scored by girls
sum of the marks of girls30=73
sum of the marks of girls=7330
sum of the marks of girls=2190

Mean marks scored by boys=71.
sum of the marks of boysnumber of boys=mean marks scored by boys
sum of the marks of boys20=71
sum of the marks of girls=7120
sum of the marks of girls=1420

Total sum of marks=2190+1420=3610
Total sum of the marksTotal number of students=mean score of the whole class

361050=mean score of the whole class
mean score of the whole class is 72.2

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