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 6-10 10-14 14-20 20-28 28-38 38-40
Number of students 11 10 7 4 4 3 1

Solution

Class interval Frequency (fi) Mid-point (xi) fixi
0-6 11 3 33
6-10 10 8 80
10-14 7 12 84
14-20 4 17 68
20-28 4 24 96
28-38 3 33 99
38-40 1 39 39
Sum fi = 40 Sum fixi = 499

Formula

The formula to find out the mean is

Mean = x̄ = ∑fixi /∑fi

= 499/40

= 12.48 days

Answer

Hence, the mean number of days a student was absent = 12.48.

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