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Mathematics

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.

No. of daysNo. of students
0 - 611
6 - 1010
10 - 147
14 - 204
20 - 284
28 - 383
38 - 401

Measures of Central Tendency

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Answer

We construct the following table :

No. of days (Classes)Class mark (yi)No. of students (Frequency (fi))fiyi
0 - 631133
6 - 1081080
10 - 1412784
14 - 2017468
20 - 2824496
28 - 3833399
38 - 4039139
Total40499

∴ Mean = fiyifi=49940\dfrac{∑fiyi}{∑f_i} = \dfrac{499}{40} = 12.475

Hence, mean of the following distribution is 12.475

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