Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

Published by McGraw-Hill Education
ISBN 10: 0078136334
ISBN 13: 978-0-07813-633-7

Chapter 2 - Frequency Distributions and Graphs - 2-1 Organizing Data - Exercises 2-1 - Page 52: 20

Answer

\begin{array}{c}& \textbf{Salary} & \textbf{Frequency} \\\hline & \text{70,000-87,916} & \text{1} \\ & \text{87,917-105,833} & \text{3} \\ & \text{105,834-123,750} & \text{7} \\ & \text{123,751-141,667} & \text{6} \\ & \text{141,668-159,584} & \text{5} \\ & \text{159,585-177,501} & \text{3} \end{array}

Work Step by Step

Find the highest and lowest values. $H=177,500$ $L=70,000$ Find the range. $R=H-L=177,500-70,000=107,500$ Find the class width by dividing the range my the number of classes. $W=\frac{R}{C}=\frac{107,500}{6}=17,916 \overline 6$ Round up. $W=17,917$ Add the width to the lowest value to get the lower limit of the next class. Find the upper limit of each class by subtracting 1 from the lower limit of the next class. $70,000+17,917=87,917$ $87,917+17,917=105,834$ $105,834+17,917=123,751$ $123,751+17,917=141,668$ $141,668+17,917=159,585$ $159,585+17,917=177,502$ Tally the frequency for each category and enter the results in the table.
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