Lecture 2 – Grouped Data Calculation

1. Mean, median and Mode2. First Quantile, third Quantile and Interquantile 2 Grouped Data CalculationMean Grouped DataNumberof orderf10 1213 1516 1819 214122014n = 50 Numberof orderfxfx10 1213 1516 1819 2141220141114172044168340280n = 50= 832fx832x=== n50 Example: The following table gives the frequency distribution of the number of orders received each day during the past 50 days at the office of a mail-order company. Calculate the :X is the midpoint of the class. It is adding the class limits and divide by and Interquartile Range Grouped DataStep 1: Construct the cumulative frequency 2: Decide the class that contain the median is the first class with the value of cumulative frequency equal at least 3: Find the median by using the following formula: M edian mmn-F2=L +ifmLmfWhere:n = the total frequencyF = the cumulative frequency before class mediani = the class width= the lower boundary of the class median = the frequency of the class medianTime to travel to workFrequency1 1011 2021 3031 4041 508141297 Example: Based on the Grouped data below, find the median :Solution:Time to travel to workFrequencyCumulative Frequency1 1011 2021 3031 4041 508141297822344350252502==nmfmL1st Step: Construct the cumulative frequency distribution class median is the 3rd classSo, F = 22, = 12, = and i = 10 Therefore,225 2221 5101224 + + median = = mmn-F=Lif.

Mean, Median and Mode 2. First Quantile, third Quantile and Interquantile Range. ... •Mode is the value that has the highest frequency in a data set. •For grouped data, class mode (or, modal class) is the class with the highest frequency.

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  Name, Dome, Ranges, Median

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