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The Quick Change Oil Company has a number of outlets in
Chapter 2, Problem 12E(choose chapter or problem)
The Quick Change Oil Company has a number of outlets in the metropolitan Seattle area. The daily number of oil changes at the Oak Street outlet in the past 20 days are:
\(\begin{array}{|llllllllll|}
\hline 65 & 98 & 55 & 62 & 79 & 59 & 51 & 90 & 72 & 56 \\
70 & 62 & 66 & 80 & 94 & 79 & 63 & 73 & 71 & 85 \\
\hline
\end{array}\)
The data are to be organized into a frequency distribution.
a. How many classes would you recommend?
b. What class interval would you suggest?
c. What lower limit would you recommend for the first class?
d. Organize the number of oil changes into a frequency distribution.
e. Comment on the shape of the frequency distribution. Also determine the relative frequency distribution.
Questions & Answers
QUESTION:
The Quick Change Oil Company has a number of outlets in the metropolitan Seattle area. The daily number of oil changes at the Oak Street outlet in the past 20 days are:
\(\begin{array}{|llllllllll|}
\hline 65 & 98 & 55 & 62 & 79 & 59 & 51 & 90 & 72 & 56 \\
70 & 62 & 66 & 80 & 94 & 79 & 63 & 73 & 71 & 85 \\
\hline
\end{array}\)
The data are to be organized into a frequency distribution.
a. How many classes would you recommend?
b. What class interval would you suggest?
c. What lower limit would you recommend for the first class?
d. Organize the number of oil changes into a frequency distribution.
e. Comment on the shape of the frequency distribution. Also determine the relative frequency distribution.
ANSWER:Step 1 of 5
Given: The data of the daily number of oil outlets in the metropolitan Seattle area is provided.
The total number of observations in the provided data is \(N=20\).
a. To find the number of classes, the formulae to be followed is:
\(\begin{aligned} k & =1+3.322 \log _{10} \times N \\ & =1+3.322 \log _{10} \times 20 \\ & =5.322 \\ & \approx 5 \end{aligned}\)
Therefore, the number of classes is 5.