Question

Find the more than type cumulative frequency of the given distribution.

Class interval	0-10	10-20	20-30	30-40	40-50
Frequency	2	12	22	8	6

Answer 1

Hint: We know that, the frequency obtained by adding the frequencies of all the classes preceding the given class to the frequency of the class is termed as cumulative frequency.” Less than type” cumulative frequency of a class is termed when the number of observations are less than the upper boundary of a class and “more than type” cumulative frequency of a class is the frequency when number of observations are more than or equal to the lower boundary of a class. So, we have to make another column in the above table which will provide the data of cumulative frequency (more than type).

Complete step-by-step answer:
As per the question, we have to find more than type cumulative frequency.
More than type of cumulative frequency can be calculated by the formula given below,
Sum of all frequencies = $2 + 12 + 22 + 8 + 6 = 50$
Now, more than type frequency can be calculated by subtracting all the proceeding frequencies from the sum of all the frequencies.

Class intervals	Frequency	More than type cumulative frequency
0-10	2	50
10-20	12	50-2=48
20-30	22	50-2-12=36
30-40	8	50-2-12-22=44
40-50	6	50-2-12-22-8=6

The above table gives the More than type cumulative frequency.

Note: As we know, it makes it difficult to remember about the concepts of less than and more than cumulative frequencies. So, to make our questions correct it is important to cross check the solution.