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: 18

Answer

\begin{array}{c}& \textbf{Watts per Hour} & \textbf{Frequency} \\\hline & \text{54-62} & \text{7} \\ & \text{63-71} & \text{6} \\ & \text{72-80} & \text{8} \\ & \text{81-89} & \text{4} \\ & \text{90-98} & \text{1} \\ & \text{99-107} & \text{3} \\ & \text{108-116} & \text{1} \end{array}

Work Step by Step

Find the width of each class by subtracting the lowest value from the highest. Divide the difference by 7, as 7 classes were specified in the instructions. Round up to determine the width. $\frac{110-54}{7}=\frac{56}{7}=8$ Round up to 9. Note that rounding up is required even when the quotient is a whole number. The lowest value is 54. Add 9 to each lower limit to find the next lower limit in the table. The upper limit will be one less than the lower limit that follows. $54+9=63$ $63+9=72$ $72+9=81$ $81+9=90$ $90+9=99$ $99+9=108$ $108+9=117$ (Computed only to find the final upper limit)
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