quiz1_solutions - 8 14.0[29 5 39 5 0.0 Yards gained...

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Name: Math 1011– Intro to Statistics Spring 2011 QUIZ 1 — Histograms 1/24/11 1. In a recent football game, one team (we will call them the ”Packers”) ran 57 plays, and the other (call them the ”Bears”) ran 61. The tables below list the number of times a play gained a given number of yards. Packers Bears Yards gained Frequency -8 1 -5 1 -2 1 0 10 1 10 2 8 3 1 4 1 6 3 9 5 10 3 12 2 15 1 16 2 20 1 21 2 22 3 25 1 26 1 Yards gained Frequency -10 1 -5 1 -3 1 -2 2 0 18 1 6 2 5 3 3 4 2 5 2 6 1 7 2 8 3 9 1 10 1 11 3 12 1 13 2 14 1 17 1 24 2 32 1 35 1 (a) Draw a histogram for each team (b) Faced with a 4th and 2, which team do you think has a better chance of converting? (c) Why is there such a big spike in the [ - 0 . 5 , 1 . 5) range? Solution: First, we need to write the tables in terms of class intervals and percentages. Packers Bears Yards gained Frequency Percentage [ - 10 . 5 , - 0 . 5) 3 5.3% [ - 0 . 5 , 1 . 5) 20 35.1% [1 . 5 , 4 . 5) 10 17.5% [4 . 5 , 9 . 5) 8 14.0% [9 . 5 , 14 . 5) 5 8.8% [14 . 5 , 19 . 5) 3 5.3% [19
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Unformatted text preview: 8 14.0% [29 . 5 , 39 . 5) 0.0% Yards gained Frequency Percentage [-10 . 5 ,-. 5) 5 8.2% [-. 5 , 1 . 5) 24 39.3% [1 . 5 , 4 . 5) 10 16.4% [4 . 5 , 9 . 5) 9 14.8% [9 . 5 , 14 . 5) 8 13.1% [14 . 5 , 19 . 5) 1 1.6% [19 . 5 , 29 . 5) 2 3.3% [29 . 5 , 39 . 5) 2 3.3% (a) Packers Bears-10 02 5 10 15 20 30 40 5 10 15 20 Yards % per yard-10 02 5 10 15 20 30 40 5 10 15 20 Yards (b) For the Packers, 59.6% of their plays gained 2 yards or more. For the Bears, only 52.5% of their plays gained 2 yards or more. So the Packers are more likely to convert. (c) This spike is due to the fact that incomplete passes (of which the Packers had 11 and the Bears had 16) count for 0 yards....
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