what is the formula for precetiles for frequency distribution
Answers
Answer:
Cumulative Frequency
Cumulative frequency is defined as a running total of frequencies. The frequency of an element in a set refers to how many of that element there are in the set. Cumulative frequency can also defined as the sum of all previous frequencies up to the current point.
The cumulative frequency is important when analyzing data, where the value of the cumulative frequency indicates the number of elements in the data set that lie below the current value. The cumulative frequency is also useful when representing data using diagrams like histograms.
Cumulative Frequency Table
The cumulative frequency is usually observed by constructing a cumulative frequency table. The cumulative frequency table takes the form as in the example below.
Example 1
The set of data below shows the ages of participants in a certain summer camp. Draw a cumulative frequency table for the data.
Age (years) Frequency
10 3
11 18
12 13
13 12
14 7
15 27
Solution:
The cumulative frequency at a certain point is found by adding the frequency at the present point to the cumulative frequency of the previous point.
The cumulative frequency for the first data point is the same as its frequency since there is no cumulative frequency before it.
Age (years) Frequency Cumulative Frequency
10 3 3
11 18 3+18 = 21
12 13 21+13 = 34
13 12 34+12 = 46
14 7 46+7 = 53
15 27 53+27 = 80