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# A class teacher has the following absentee record of 40 students of a class for the whole term. Find the mean number of days a student was absent. - Mathematics

Sum

A class teacher has the following absentee record of 40 students of a class for the whole term. Find the mean number of days a student was absent.

 Number of days: 0-6 6-12 12-18 18-24 24-30 30-36 36-42 Number of students: 10 11 7 4 4 3 1
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#### Solution

We will do it by a direct method

Using: mean(∑ "f"_"i""x"_"i")/(∑ "f"_"i")

 Number of days Number of students (fi) Classmark (xi) fixi 0-6 10 (0+6)/2 = 3 30 6-12 11 (6+12)/2 = 9 99 12-18 7 (12+18)/2 =15 105 18-24 4 (18+24)/2 = 21 84 24-30 4 (24+30)/2 =27 108 30-36 3 (30+46)/2 =33 99 36-42 1 (36+42)/2 = 39 39 ∑ fi = 40 ∑ fixi =564

substituting the values in the formula

mean = 564/40 = 14.1

Concept: Mean of Grouped Data
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