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

Mathematics for the Trades: A Guided Approach (10th Edition) - Standalone book

10th Edition

ISBN: 9780133347777

Author: Robert A. Carman Emeritus, Hal M. 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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Chapter 12 Solutions

Mathematics for the Trades: A Guided Approach (10th Edition) - Standalone book

Ch. 12.1 - A. Answer the questions following each...Ch. 12.1 - Trades Management The following graph shows the...Ch. 12.1 - Prob. 3AE Ch. 12.1 - Prob. 4AE Ch. 12.1 - Prob. 5AE Ch. 12.1 - Automotive Trades The following line graph shows...Ch. 12.1 - Prob. 7AE Ch. 12.1 - General Interest Study the circle graph at the top...Ch. 12.1 - Prob. 9AE Ch. 12.1 - Allied Health An assistant at a pharmaceutical...

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