Lecture 2 – Grouped Data Calculation - UMass

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 50814129782234435025

Interquartile Range. IQR = Q. 3 –Q. 1. calculate the IQ. IQR = Q. 3 –Q 1 = 34.3889 – 13.7143 = 20.6746. Mode •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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  Ranges, Interquartile range, Interquartile

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