Introduction to Probability and Statistics for Engineers and Scientists

44 Chapter 2:Descriptive Statistics

U.S. Airline Safety, Scheduled Commercial Carriers, 1980–1995

Fatal

Accidents

Fatal per Fatal

Departures Acci- Fatal- 100,000 Departures Acci- Fatal-

(millions) dents ities Departures (millions) dents ities

1980 5.4 0 0 0.000 1988 6.7 3 285

1981 5.2 4 4 0.077 1989 6.6 11 278

1982 5.0 4 233 0.060 1990 6.9 6 39

1983 5.0 4 5 0.079 1991 6.8 4 62

1984 5.4 1 4 0.018 1992 7.1 4 33

1985 5.8 4 197 0.069 1993 7.2 1 1

1986 6.4 2 5 0.016 1994 7.5 4 239

1987 6.6 4 231 0.046^11995 8.1 2 166

Source: National Transportation Safety Board.

(f ) Find the sample mode of the number of yearly airline accidents.

(g) Find the sample standard deviation of the number of yearly airline accidents.

7. (Use the table from Problem 6.)
   (a) Represent the number of yearly airline fatalities in a histogram.
   (b) Represent the number of yearly airline fatalities in a stem and leaf plot.
   (c) Find the sample mean of the number of yearly airline fatalities.
   (d) Find the sample median of the number of yearly airline fatalities.
   (e)Find the sample standard deviation of the number of yearly airline fatalities.


8. The following table gives the winning scores in the Masters golf tournament for
   the years from 1967 to 2002. Use it
   (a) to construct a stem and leaf plot, and
   (b) to find the sample median of the winning scores in these years.

Year Player Score

1967 Gay Brewer, Jr. 280

1968 Bob Goalby 277

1969 George Archer 281

1970 Billy Casper (69) 279

1971 Charles Coody 279

1972 Jack Nicklaus 286

1973 Tommy Aaron 283

1974 Gary Player 278

(continued )