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

ID: 2630335 • Letter: T

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.

10

10

12

19

28

30

34

38

40

40

41

43

45

46

49

52

54

56

57

60

62

64

67

70

73

76

77

79

85

93

Determine the first and third quartiles.

Q3

Determine the second decile and the fourth decile.

fourth decile

10

10

12

19

28

30

34

38

40

40

41

43

45

46

49

52

54

56

57

60

62

64

67

70

73

76

77

79

85

93

Explanation / Answer

There are 30 data elements.

-----
(a) Determine the first and third quartiles.

Q1 = ?
25%*30 = 7.5
Locator = 8
Q1 is the 8th element = 38
-------
Q3 = ?
75%*30 = 22.5
Locator = 23
Q3 is the 23rd data element = 67

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

D2 = ?
20%*30 = 6
Locator = 6
D2 is the 6th data element = 30
-------
D4 = ?
80%*30 = 24
Locator = 24
D4 is the 24th data element = 70
-------
(c) Determine the 72nd percentile = ?
72%*30 = 21.6
locator = 22
72%ile is the 22nd data element = 64

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