(a) Explanation Given: The mean gas mileage for 20 full tanks of gas as mentioned below: ( 21.7 , 19.5 , 20.6 , 25.6 , 24.3 , 20.1 , 20.7 , 22.5 , 20.2 , 24.5 , 23.7 , 20.1 , 23.1 , 19.9 , 23.5 , 24.4 , 19.7 , 25.2 , 21.8 and 22.3 ) 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 by finding the mean of the endpoints of the class. This is denoted by M . 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: The width of each of the class interval is 0.9 mi/gal. Place the tally marks for each of the data value within the interval and count all the tally marks for frequency of each class. The frequency distribution is, Class Tally Frequency, F 19.0–19.9 | | | 3 20.0–20.9 | | | | 5 21.0–21.9 | | 2 22.0–22 (b) To determine The average cost per mile to operate the vehicle at $3.70 per gallon.

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 12.2, Problem 13CE

(a)

To determine

The frequency distribution and the mean fuel economy (in miles per gallon)

(b)

To determine

The average cost per mile to operate the vehicle at $3.70 per gallon.

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Chapter 12.2, Problem 12CE

Chapter 12.2, Problem 14CE

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