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 31 34 34 34 35 35 36 37 38 41 41 41 45 46 47 47 49 52 53 56 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

a)) Q1= (n+1)/4 = 31/4 = 7.75th data = 31+0.75*2 = 32.5

Q3 = 3*31/4 = 23.25th data = 48+0.25*4 = 49

b) Determine the second decile
D2 = 2/10(31) = 6.2 th data = 29.4
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and the eighth decile.

Round up to 2
D8 = 8/10(31) th data = 24.8th data = 52.8

(c) Determine the 67th percentile.

Round up to 2 67th percentile = 67/100 x 31 = 20.77th data = 21.54

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