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Below is a frequency distribution from a random sample of the number of interceptions thrown in a football game by one quarterback. Frequency Distribution: Number of Interceptions Thrown in a Game Number of Interceptions Count Cumulative Count Percent Cumulative Percent 0 40 40 20% 20% 1 80 120 40% 60% 2 48 168 24% 84% 3 20 188 10% 94% 4 8 196 4% 98% 5 4 200 2% 100% a. How many observations are in the sample

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Answer: 200

Step-by-step explanation:

No___count ____cumm____count%___cumm%

0_____40_______40_______20%_____20%

1_____80_______120_______40%_____60%

2____48________168_______24%_____84%

3____20________188_______10%______94%

4____8_________196_______4%_______98%

5____4_________200_______2%______100%

Hence number of observations in the sample is the sum of counts of each interception, which is also the bottom most value of the cumulative frequency column.

Sum of counts (40 + 80 + 48 + 20 + 8 + 4) = 200

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