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Question

The following table gives the number of boys of a particular age in a class of 40 students. Calculate the mean age of the students
Age (in years):  15  16  17  18  19  20
No. of students: 3    8  10  10   5   4


Solution

Mean = fraction numerator begin display style stack sum f subscript i x subscript i with i equals 1 below end style over denominator N end fraction=fraction numerator 15 cross times 3 plus 16 cross times 8 plus 17 cross times 10 plus 18 cross times 10 plus 19 cross times 5 plus 20 cross times 4 over denominator 3 plus 8 plus 10 plus 10 plus 5 plus 4 end fraction

Mean = fraction numerator 45 plus 128 plus 170 plus 180 plus 95 plus 80 over denominator 40 end fraction equals 698 over 40 equals 17.45
Hence the mean age is 17.45 yrs

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