The Quick Change Oil Company has a number of outlets. The numbers of oil changes at the Oak Street outlet in the past 20 days are as follows:
56 | 54 | 35 | 55 | 33 | 46 | 44 | 32 | 57 | 78 |
42 | 42 | 71 | 52 | 75 | 43 | 55 | 45 | 54 | 74 |
The data are to be organized into a frequency distribution.
a. How many classes would you recommend?
b. What class interval would you suggest? (Round the final answer to the nearest whole number.)
c. What lower limit would you recommend for the first class?
d. Organize the information into a frequency distribution and determine the relative frequency distribution. (Round the final answers to 2 decimal places.)
Units | Frequency | Relative frequency |
30 to under 40 | ||
40 to under 50 | ||
50 to under 60 | ||
60 to under 70 | ||
70 to under 80 | ||
Total | ||
e. Comment on the shape of the distribution. (Enter the intervals in ascending order.)
The greatest concentration is in classes up to and up to .
a) Minimum value = 32 and maximum value = 78
Difference = 78 - 32 = 46
Recommended number of classes = 5 each with interval = 10
b) suggested class interval = 10
c) Lower limit for first class = 30
d)
Units | Frequency | Relative Frequency | |
30 to under 40 | 3 | 0.15 | |
|
6 | 0.30 | |
50 to under 60 | 7 | 0.35 | |
60 to under 70 | 0 | 0 | |
70 to under 804 | 4 | 0.20 | |
Total | 20 | 1.00 |
e) The shape of the distribution is almost right skewed.
The greatest concentration is in classes 30 to under 60.
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