Explanation Given: The frequency distribution as shown below: Class Frequency, F 0–4.9 cu cm 12 5.0–9.9 cu cm 9 10.0–14.9 cu cm 3 15.0–19.9 cu cm 2 20.0–24.9 cu cm 6 25.0–29.9 cu cm 8 30.0–34.9 cu cm 10 Procedure used: “Steps for constructing the frequency distribution: 1. Define the classes using the class width. 2. For each of the class place the tally marks, if the data value is in the class interval. 3. Count the number of tally marks for each class interval for obtaining frequency. Steps for finding mean of grouped data: 1. Calculate the midpoint, M by finding the mean of the endpoints of the class. 2. Multiply the each of the frequency F with the corresponding midpoint M for each of the class. These values are denoted as ‘Product, FM ’. 3. Calculate the sum of the frequencies which is denoted as n . 4. Calculate the sum of ‘Product, FM ’. 5. Divide the sum of ‘Product, FM ’ with the sum n” . Calculation: Mean for grouped data: Class Frequency, F Midpoint, M Product, FM 0–4.9 12 0 + 4.9 2 = 2.45 29.40 5.0–9.9 9 5.0 + 9.9 2 = 7.45 67.05 10.0–14.9 3 10 + 14

10th Edition

ISBN: 8220100803055

Author: SAUNDERS

Publisher: PEARSON

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Chapter 12, Problem 1DPS

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The mean of the grouped data

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