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Question

The marks obtained out of 50, by 102 students in a Physics test are given in the frequency table below:
Marks (x): 15 20 22 24 25 30 33 38 45
Frequency (f): 5 8 11 20 23 18 13 3 1

Find the average number of marks.

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Solution

Let the assume mean be.

We know that mean,

Now, we have .

Putting the values in the above formula, we get



Hence, the average number of marks is 26.08.


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