SOLUTION: 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

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Question 628446: 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
30
32
33
34
34
35
35
36
37
38
   41
41
41
45
46
47
47
49
52
54
55
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.
 
 

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
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
30
32
33
34
34
35
35
36
37
38
41
41
41
45
46
47
47
49
52
54
55
56
62
67
82
(Round your answers to 2 decimal places.)
There are 30 data elements.
-----
(a) Determine the first and third quartiles.

Q1 = ?
25%*30 = 7.5
Locator = 8
Q1 is the 8th element = 33
-------
Q3 = ?
75%*30 = 22.5
Locator = 23
Q3 is the 23rd data element = 49

(b) Determine the second decile and the eighth decile.

D2 = ?
20%*30 = 6
Locator = 6
D2 is the 6th data element = 30
-------------------------------
D8 = ?
80%*30 = 24
Locator = 24
D8 is the 24th data element = 52
--------------------
(c) Determine the 67th percentile = ?
67%*30 = 20.1
locator = 21
67%ile is the 21st data element = 46
=====================================================
Cheers,
Stan H.


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