A full-service car wash has an automated exterior conveyor carwash system that does the initial cleaning in a few minutes.However, once the car is through the system, car wash workers handclean the inside and the outside of the car for approximately 15 to25 additional minutes. There are enough workers to handle four carsat once during this stage. On a busy day with good weather, the carwash can handle up to 150 cars in a 12-hour time period. However,on rainy days or on certain days of the year, business is slow.Suppose 50 days of work are randomly sampled from the car wash’srecords and the number of cars washed each day is recorded. Astem-and-leaf plot of this output is constructed and is givenbelow. Study the plot and write a few sentences describing thenumber of cars washed per day over this period of work. Note thatthe stem-and-leaf display is from Minitab, the stems are in themiddle column, each leaf is only one digit and is shown in theright column, and the numbers in the left column are cumulativefrequencies up to the median and then decumulativethereafter.
STEM-AND-LEAF DISPLAY: CARS WASHED PERDAY |
Stem-and-leaf of Cars Washed Per Day N = 50 Leaf Unit =1.0 |
     | Stem | Leaf | 3 | 2 | 399 | 9 | 3 | 144778 | 15 | 4 | 015689 | 18 | 5 | 378 | 21 | 6 | 223 | 24 | 7 | 457 | (3) | 8 | 112 | 23 | 9 | 05 | 21 | 10 | 1234578 | 14 | 11 | 466 | 11 | 12 | 01467 | 6 | 13 | 37 | 4 | 14 | 1457 |
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From the stem and leaf display, the original raw data can beobtained. For example, the fewest number of cars washed on anygiven day are ____. The most cars washed on any given day are_____. The modal stems are 3, 4, and 10 in which there are ___ dayswith each of these numbers. Studying the left column of the Minitaboutput, it is evident that the median number of cars washed is____. There are only ___ days in which 90 some cars are washed (90and 95) and only _____ days in which 130 some cars are washed (133and 137).