The owner of an auto repair shop studied the waiting times for customers who arr

Question

The owner of an auto repair shop studied the waiting times for customers who arrive at the shop for an oil change. The following data with waiting times in minutes were collected over 1-month.

2; 5; 10; 12; 4; 4; 5; 17; 11; 8; 9; 8; 12; 21; 6; 8; 7; 13; 18; 3

Using classes of 0-4, 5-9, and so on, construct:

a. The frequency distribution.

b. The relative frequency distribution.

c. The cumulative frequency distribution.

d. The proportion of customers needing an oil change who wait 9 minutes or less.

Explanation / Answer

(a)

Following is the freqeuncy distribution :

(b)

Following is the  relative frequency distribution :

(c)

The cumulative frequency distribution:

(d)

Number of customers needing an oil change who wait 9 minutes or less is 12. So the proportion of customers needing an oil change who wait 9 minutes or less will be

(12/20)*100% = 60%

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