Solution Found!
Reading a Frequency Distribution In Exercise 16, use the
Chapter 2, Problem 16E(choose chapter or problem)
Use the frequency distribution to find the (a) class width, (b) class midpoints, and (c) class boundaries.
Travel Time to Work (in minutes)
\(\begin{array}{|c|c|} \hline \text { Class } & \text { Frequency, } \boldsymbol{f} \\ \hline 0-9 & 188 \\ 10-19 & 372 \\ 20-29 & 264 \\ 30-39 & 205 \\ 40-49 & 83 \\ 50-59 & 76 \\ 60-69 & 32 \\ \hline \end{array}\)
Questions & Answers
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.