Reading a Frequency Distribution In Exercise 16, use the

Chapter 2, Problem 16E

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QUESTION:

Use the frequency distribution to find the (a) class width, (b) class midpoints, and (c) class boundaries.

Travel Time to Work (in minutes)

\(\begin{array}{|c|c|} \hline \text { Class } & \text { Frequency, } \boldsymbol{f} \\ \hline 0-9 & 188 \\ 10-19 & 372 \\ 20-29 & 264 \\ 30-39 & 205 \\ 40-49 & 83 \\ 50-59 & 76 \\ 60-69 & 32 \\ \hline \end{array}\)

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QUESTION:

Use the frequency distribution to find the (a) class width, (b) class midpoints, and (c) class boundaries.

Travel Time to Work (in minutes)

\(\begin{array}{|c|c|} \hline \text { Class } & \text { Frequency, } \boldsymbol{f} \\ \hline 0-9 & 188 \\ 10-19 & 372 \\ 20-29 & 264 \\ 30-39 & 205 \\ 40-49 & 83 \\ 50-59 & 76 \\ 60-69 & 32 \\ \hline \end{array}\)

ANSWER:

Step 1 of 3

(a) The minimum data entry is 0 and the maximum data entry is 69, so the

range  = 69 - 0 = 69.

Divide the range by the number of classes and round up to find the class width, ie;

\(\frac{\text { Range }}{\text { No. of classes }}=\frac{69}{7}=9.86\)

Class width =

Round up to the next convenient number, 10.

Class width = 10

Alternative method,

Class width  = (Upper class limit - Lower class limit) + 1 = (9 - 0) + 1 = 10.

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