1
PHIL 1010, CRITICAL THINKING
EXERCISES DUE THURS, 10/30
KEY
EXERCISES 10.1 B (Sections 1-1.2)
B. For each of the following sets of data, calculate as many of the following as you can given the data.
(a) the mean, (b) the truncated mean, (c) mode, (d) midrange, and (e) median.
1. Political and economic commentator Kevin Phillips points out the declining employment in the top 500
U.S. industrial corporations over the last two decades of the 20
th
century (
Wealth and Democracy
,
Broadway Books, 2002). Based on the figures below, what is the average number of jobs across
the time period from 1980 to 1993. Calculate the average in each of the types listed above.
Year
Number of Jobs at the top 500 Corporations
1980
15.9 million
1985
14.1 million
1990
12.4 million
1993
11.5 million
U.S. Department of Commerce, Bureau of the Census, U.S. Statistical Abstract, and “The Fortune
500. The largest U.S. industrial corporations,”
Fortune
, April 18, 1994, as reported by Phillips in
Wealth and Democracy
, page 151.
(a) the mean, 13.475
(b) the truncated mean, if you take off the highest value, it is 12.67
(c) mode, 15.9, 14.1, 12.4, and 11.5
(d) midrange 13.7
(e) median, none or the mean of 12.4 and 14.1, = 13.25
2. According to
Honest Work, A Business Ethics Reader
(Joanne B. Ciulla, et. al., Oxford University
Press, 2007, page 166), the number of bankruptcies filed increased considerably from 1997 to
2002. Given the figures below, what was the average number of business and non-business
bankruptcies across the six year period for which the numbers are given.
Year
Total
Non-Business
Business
2002
1,504,806
1,464,961
38,845
2001
1,307,857
1,271,865
35,992
2000
1,301,205
1,263,096
38,108
1999
1,419,199
1,378,071
41,128
1998
1,423,128
1,370,490