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AMS310 Summer2011 hw1-ch2 solutions

AMS310 Summer2011 hw1-ch2 solutions - 30 40 50 60 70 80 90...

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Homework 1 (Chapter 2) Due Friday, June 03 1. The following is the examination scores of 15 students. 75 98 42 75 84 87 65 59 63 86 78 37 99 66 90 (a) make a stem and leaf plot. (b) make a dot diagram. 2. Motor octane ratings for various gasoline blends: 88.5 87.7 83.4 86.7 87.5 91.5 88.6 95.6 93.3 94.7 87.8 89.9 91.1 91.0 94.2 (a) make a stem and leaf plot. (b) make a dot diagram. 100 90 80 70 60 50 40 30 - - + - - - - + - - - - + - - - - + - - - - + - - - - + - - - - + - - - - + - -

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3. Humidity readings (rounded to the nearest %): 29 44 12 53 21 34 39 25 48 23 17 24 27 32 34 15 42 21 28 37 (a) make a frequency distribution table. Class Interval Tally Frequency Rel. Freq. 10-19 ||| 3 3/20=.15 20-29 |||| ||| 8 8/20=.40 30-39 |||| 5 5/20=.25 40-49 ||| 3 3/20=.15 50-59 | 1 1/20=.05 Total 20 1.00 (b) make a histogram.
This is a density histogram with total are equal to 1. You could also make it with just the frequency or rel.(%) frequency on the top of each bar. 4. Frequency distribution of histogram for enrollment: Grade Frequency Rel. Freq. Freshmen 33 .33 Sophomore 28 .28 Junior 21 .21 Senior 17 .17 Total 99 .99 Make a Pareto chart.

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5. Professional baseball players’ annual income: Income (in \$1,000) Number of players 30 80 50 150 100 50 500 40 1,000 30 2,000 25 3,000 15

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AMS310 Summer2011 hw1-ch2 solutions - 30 40 50 60 70 80 90...

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