What is the cumulative frequency of a data set with intervals 0-10, 10-20, 20-30?

The cumulative frequency of a data set with intervals 0-10, 10-20, 20-30 is the running total of frequencies up to each interval.

To understand cumulative frequency, let's first break down what it means. Cumulative frequency is the sum of the frequencies of all intervals up to and including the current interval. It helps us understand the distribution of data across different intervals.

Imagine you have a data set where the frequency of each interval is given. For example, let's say the frequency for the interval 0-10 is 5, for 10-20 is 7, and for 20-30 is 3. The cumulative frequency for the first interval (0-10) is simply the frequency of that interval, which is 5.

For the second interval (10-20), the cumulative frequency is the sum of the frequencies of the first and second intervals. So, it would be 5 (from 0-10) + 7 (from 10-20) = 12.

For the third interval (20-30), the cumulative frequency is the sum of the frequencies of all three intervals. So, it would be 5 (from 0-10) + 7 (from 10-20) + 3 (from 20-30) = 15.

In summary, the cumulative frequencies for the intervals 0-10, 10-20, and 20-30 are 5, 12, and 15, respectively. This running total helps you see how data accumulates across the intervals, making it easier to analyse the overall distribution.