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Determine the median number of calls

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1) Wendy Hagel is the national sales manager for National Textbooks, Inc. She has a sales staff of 40 who visit college professors all over the United States. Each Saturday morning she requires her sales staff to send her a report. This report includes, among other things, the number of professors visited during the previous week. Listed below, ordered from smallest to largest, are the number of
visits last week.

38 40 41 45 48 48 50 50 51 51 52 52 53 54 55 55 55 56 56 57
59 59 59 62 62 62 63 64 65 66 66 67 67 69 69 71 77 78 79 79

a. Determine the median number of calls.
b. Determine the first and third quartiles.
c. Determine the 1st decile and the 9th decile.
d. Determine the 33rd percentile.

2)
Berdine's Chicken Factory has several stores in Hilton Head, South Carolina, area. When interviewing applicants for server positions, the owner wants to include information on the amount of tip a server can expect to earn per check (or bill). A study of 500 recent checks indicated the server earned the following tip.
Amount of Tip Number
$0 up to $ 5 200
5 up to 10 100
10 up to 20 75
20 up to 50 75
50 or more 50
Total 500

a. What is the probability of a tip of $50 or more?
b. Are the categories "$0 up to $5," "$5 up to $10," and so on considered mutually exclusive?
c. If the probabilities associated with each outcome were totaled, what would that total be?
d. What is the probability of a tip of up to $10?
e. What is the probability of a tip of less than $50?

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Gaurav Agarwal, MS
Education
  • BE, Bangalore University, India
  • MS, University of Wisconsin-Madison
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