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To calculate cumulative frequency, you first need to have a frequency distribution table. Start by adding up the frequencies of the first category. Then, for each subsequent category, add the frequency to the cumulative frequency of the previous category. The final cumulative frequency will be the total number of observations in the data set.
An ogive is a type of graph that is used to represent the cumulative frequencies for the classes in a frequency distribution. This type of graph can also be known as a cumulative frequency graph. The cumulative frequency is the sum of the frequencies accumulated up to the upper boundary of a class in the distribution.
Cumulative frequency is the running total of frequencies. It can be shown on a graph by joining points. For example if frequencies are 4, 6, 3, 2, 6, 10 then their cumulative frequencies are 4, 10, 13, 15, 21 and 31 respectively.
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Given a frequency table,the first cumulative frequency is the same as the first frequency;the second cumulative frequency is the sum of the first cumulative frequency and the second [ordinary] frequency;the third cumulative frequency is the sum of the second cumulative frequency and the third [ordinary] frequency;and so on.An alternative definition is that the cumulative frequency for any value is the sum of all the frequencies less than or equal to that value.