3. A biomechanics researcher wanted to test whether good, average, and poor sprinters differed in horizontal foot speed. She classified the sprinters into three groups based on their sprint times. The horizontal foot speed at touchdown in feet per second was then analyzed with the following results (data is fabricated): • Poor 4, 5, 8, 6, 7, 6 • Average 7, 8, 9, 6, 7, 10 • Good 10, 13, 12, 8, 11, 12 A. What are the mean values for each group? B. What is the standard deviation for each group?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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3. A biomechanics researcher wanted to test whether good, average, and poor sprinters differed in horizontal foot speed. She classified
the sprinters into three groups based on their sprint times. The horizontal foot speed at touchdown in feet per second was then
analyzed with the following results (data is fabricated):
• Poor 4, 5, 8, 6, 7, 6
• Average 7, 8, 9, 6, 7, 10
o Good 10, 13, 12, 8, 11, 12
A. What are the mean values for each group?
B. What is the standard deviation for each group?
Transcribed Image Text:3. A biomechanics researcher wanted to test whether good, average, and poor sprinters differed in horizontal foot speed. She classified the sprinters into three groups based on their sprint times. The horizontal foot speed at touchdown in feet per second was then analyzed with the following results (data is fabricated): • Poor 4, 5, 8, 6, 7, 6 • Average 7, 8, 9, 6, 7, 10 o Good 10, 13, 12, 8, 11, 12 A. What are the mean values for each group? B. What is the standard deviation for each group?
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