Connect. BUSINESS STATISTICS Ch04 Connect Question 4 (of 7 4. value 14.32 points

Question

Connect. BUSINESS STATISTICS Ch04 Connect Question 4 (of 7 4. value 14.32 points 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 27 31 33 34 34 35 35 36 37 38 41 41 41 45 46 47 47 49 51 53 55 56 62 67 82 (Round your answers to 2 decimal places.) a. Determine the first and third quartiles 3250 Q3 49 50 b. Determine the second decile and the eighth decile D2 c. Determine the 67th percentile eBook & Resources

Explanation / Answer

# The first quartile (Q1) is defined as the middle number between the smallest number and the median of the data set. The second quartile (Q2) is the median of the data. The third quartile (Q3) is the middle value between the median and the highest value of the data set.

There for Q1= 33

Q2 =(38+41)/2 =39.5

Q3 = 49

Total data size is n=30

# 2n/10 item as 2nd decile = (2*30)/10 = 60/10 = 6th number value 27 is 2nd decile.

# 8n/10 item as 8th decile = (8*30)/10 = 240/10 = 24th number value 51 is 8th decile.

# first calculate index

i = (p/100) * n .... Where, p= percentile, n = size of data

i = (67/100) * 30

i = 20.1

Since index is not integer value so i= 21th number value

So 47 value is 67th percentile.

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