what is the importance of cumulative frequency distribution?

Presenting the data in a cumulative frequency form is another way of organising a data. For instance, presenting the data in a more than cumulative frequency form helps in analysing the frequency of the given variable that corresponds to greater than a specif value.
MarksNo. of students
(f)
Cumulative Frequency
(c.f)
More than 0670
More than 5964 (= 70-6)
More than 101255 (= 64-9)

For istance as per the given data, cumulative frequency of 64 corresponding to more than 5, suggests that there are 64 students whose score is greater than 5.

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