The Thomas Supply Company Inc. is a distributor of gas-powered generators. As wi

Question

The Thomas Supply Company Inc. is a distributor of gas-powered generators. As with any business, the length of time customers take to pay their invoices is important. Listed below, arranged from smallest to largest, is the time, in days, for a sample of The Thomas Supply Company Inc. invoices. 13 13 13 20 26 29 32 33 34 34 35 35 36 37 38 41 41 41 45 46 47 47 49 52 54 54 56 62 67 82 (Round your answers to 2 decimal places.) a. Determine the first and third quartiles. Q1 = Q3 = b. Determine the second decile and the eighth decile. D2 = D8 = c. Determine the 67th percentile.

Explanation / Answer

There are 30 observations.

1st quartile is (1/4 * 30)th = 7.5th obseravation = average of 32 and 33 = 32.50

3rd quartile is (3/4 * 30)th = 22.5th obseravation = average of 47 and 49 = 48

2nd decile is (2/10 * 30)th = 6th observation = 29

8th decile is (8/10 * 30)th = 24th observation = 52

67th percentile is (67/100 * 30) = 20.1th obseravation = 46 + (differnce between 20th and 21st obseravtion) * 0.1 = 46 + ( 47-46)*0.1 = 46 + 0.1 = 46.10

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