n = the total frequency F = the cumulative frequency before class median i = the class width = the lower boundary of the class median
Suppose that we want to find the median height of the class of the first school children This is the cumulative frequency distribution Example 4 Height (cm)
Cumulative frequencies are useful if more detailed information is required about a set of data In particular, they can be used to find the median and
Cumulative frequency of each class is the sum of the frequency of the class and the frequencies of the pervious classes, ie adding the frequencies successively,
The “cumulative frequency” is the sum of the frequencies of that class and all previous classes Example Add the midpoint of each class, the relative frequency
e) Determine the modal class, median class and mean (to the nearest whole number) f) Sketch a frequency histogram and polygon g) Sketch a cumulative
Represent cumulative frequency, draw histogram, frequency polygon where L = Lower limit of median class; m = Cumulative frequency above median class
Read each question carefully before you begin answering it (b) Use the cumulative frequency diagram to estimate the median
The mean, median and mode are all valid measures of central tendency, So Median = 12 (since total in the cumulative frequency column which is equal to
and statistics using a frequency distribution Don't forget frequency times the class midpoint cumulative frequency before the median's frequency