The marks of 30 students of a class, obtained in a test (out of 75), are given below:
42, 21, 50, 37, 42, 37, 38, 42, 49, 52, 38, 53, 57, 47, 29

59, 61, 33, 17, 17, 39, 44, 42, 39, 14, 7, 27, 19, 54, 51.

Form a frequency table with equal class intervals. (Hint : one of them being 0-10)

Question

The marks of 30 students of a class, obtained in a test (out of 75), are given below:

42, 21, 50, 37, 42, 37, 38, 42, 49, 52, 38, 53, 57, 47, 29

59, 61, 33, 17, 17, 39, 44, 42, 39, 14, 7, 27, 19, 54, 51.

Form a frequency table with equal class intervals. (Hint : one of them being 0-10)

Philoid · Accepted Answer

Given are marks of 30 students of a class, obtained in a test (out of 75).

Note that these marks lie between 0 to 75.

So, these should be distributed in a way such that, the interval remains same in each distribution.

If we distribute it in a class interval equals to 5. Then, range would get maximized, i.e., 0-5, 5-10, 10-15, 15-20, …, 70-75.

But if we distribute it in a class interval of 10. Then the range will be optimized.

So, let’s make a table.

Thus, this is the required frequency distribution table.

The marks of 30 students of a class, obtained in a test (out of 75), are given below:42, 21, 50, 37, 42, 37, 38, 42, 49, 52, 38, 53, 57, 47, 2959, 61, 33, 17, 17, 39, 44, 42, 39, 14, 7, 27, 19, 54, 51.Form a frequency table with equal class intervals. (Hint : one of them being 0-10)