Introduction to Probability and Statistics for Engineers and Scientists

(Sean Pound) #1

Problems 41


Problems..........................................................



  1. The following is a sample of prices, rounded to the nearest cent, charged per gallon
    of standard unleaded gasoline in the San Francisco Bay area in June 1997.


137, 139, 141, 137, 144, 141, 139, 137, 144, 141, 143, 143, 141

Represent these data in
(a) a frequency table;
(b) a relative frequency line graph.


  1. Explain how a pie chart can be constructed. If a data value had relative frequency
    r, at what angle would the lines defining its sector meet?

  2. The following are the estimated oil reserves, in billions of barrels, for four regions
    in the western hemisphere.


United States 38.7
South America 22.6
Canada 8.8
Mexico 60.0

Represent these data in a pie chart.


  1. The following table gives the average travel time to work for workers in each of the
    50 states as well as the percentage of those workers who use public transportation.
    (a) Represent the data relating to the average travel times in a histogram.
    (b) Represent the data relating to the percentage of workers using public
    transportation in a stem and leaf plot.


Means of Transportation
to Work
Average Travel
Region, Division, Percent Using Public Time to Work^1
and State Transportation (minutes)
United States.. 5.3 22.4
Northeast......... 12.8 24.5
New England.... 5.1 21.5
Maine........ 0.9 19.0
New Hampshire 0.7 21.9
Vermont...... 0.7 18.0
Massachusetts.. 8.3 22.7
(continued )
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