In 2012, the Washington Nationals had the best record inbaseball with 98 wins. The Houston Astros had the worstrecord with 107 losses. To win, a team needs to scoreruns. Here are the summary statistics for the runs scoredfor hitters on each team (excluding pitchers and playerswith fewer than 50 at bats). a) Construct parallel boxplots for the runs scored. (Note:the two best hitters for the Astros were Jose Altuvewith 80 runs and Justin Maxwell with 46 runs.)b) Compare the distributions of runs scored. c) Explain why the difference in means for these distri-butions is so much larger than the difference in the medians. Column n Mean Variance StdDev StdErr Med Range Min Max Q1 Q3NatRuns 17 40.7058 1021.22 31.9565 7.7506 25 92 6 98 15 72AstrosRuns 24 23.5833 317.731 17.8250 3.6385 22 78 2 80 9.5 35
In 2012, the Washington Nationals had the best record inbaseball with 98 wins. The Houston Astros had the worstrecord with 107 losses. To win, a team needs to scoreruns. Here are the summary statistics for the runs scoredfor hitters on each team (excluding pitchers and playerswith fewer than 50 at bats). a) Construct parallel boxplots for the runs scored. (Note:the two best hitters for the Astros were Jose Altuvewith 80 runs and Justin Maxwell with 46 runs.)b) Compare the distributions of runs scored. c) Explain why the difference in means for these distri-butions is so much larger than the difference in the medians. Column n Mean Variance StdDev StdErr Med Range Min Max Q1 Q3NatRuns 17 40.7058 1021.22 31.9565 7.7506 25 92 6 98 15 72AstrosRuns 24 23.5833 317.731 17.8250 3.6385 22 78 2 80 9.5 35
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
Problem 7P
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In 2012, the Washington Nationals had the best record in
baseball with 98 wins. The Houston Astros had the worstrecord with 107 losses. To win, a team needs to score
runs. Here are the summary statistics for the runs scored
for hitters on each team (excluding pitchers and players
with fewer than 50 at bats).
a) Construct parallel boxplots for the runs scored. (Note:
the two best hitters for the Astros were Jose Altuve
with 80 runs and Justin Maxwell with 46 runs.)
b) Compare the distributions of runs scored.
the two best hitters for the Astros were Jose Altuve
with 80 runs and Justin Maxwell with 46 runs.)
b) Compare the distributions of runs scored.
c) Explain why the difference in means for these distri-
butions is so much larger than the difference in the
butions is so much larger than the difference in the
medians.
Column n Mean Variance StdDev StdErr Med Range Min Max Q1 Q3
NatRuns 17 40.7058 1021.22 31.9565 7.7506 25 92 6 98 15 72
AstrosRuns 24 23.5833 317.731 17.8250 3.6385 22 78 2 80 9.5 35
NatRuns 17 40.7058 1021.22 31.9565 7.7506 25 92 6 98 15 72
AstrosRuns 24 23.5833 317.731 17.8250 3.6385 22 78 2 80 9.5 35
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