Sluggers Babe Ruth was the first great “slugger” inbaseball. His record of 60 home runs in one season heldfor 34 years until Roger Maris hit 61 in 1961. MarkMcGwire (with the aid of steroids) set a new standard of70 in 1998. Listed below are the home run totals for eachseason McGwire played. Also listed are Babe Ruth’shome run totals.McGwire: 3*, 49, 32, 33, 39, 22, 42, 9*,9*, 39, 52, 58,70, 65, 32*, 29*Ruth: 54, 59, 35, 41, 46, 25, 47, 60, 54, 46, 49, 46, 41,34, 22a) Find the 5-number summary for McGwire’s career.b) Do any of his seasons appear to be outliers? Explain.c) McGwire played in only 18 games at the end of hisfirst big league season, and missed major portions ofsome other seasons because of injuries to his backand knees. Those seasons might not be representativeof his abilities. They are marked with asterisks in the list above. Omit these values and make parallel box-plots comparing McGwire’s career to Babe Ruth’s. d) Write a few sentences comparing the two sluggers. e) Create a side-by-side stem-and-leaf display compar-ing the careers of the two players. f) What aspects of the distributions are apparent in thestem-and-leaf displays that did not clearly show inthe boxplots?
Sluggers Babe Ruth was the first great “slugger” inbaseball. His record of 60 home runs in one season heldfor 34 years until Roger Maris hit 61 in 1961. MarkMcGwire (with the aid of steroids) set a new standard of70 in 1998. Listed below are the home run totals for eachseason McGwire played. Also listed are Babe Ruth’shome run totals.McGwire: 3*, 49, 32, 33, 39, 22, 42, 9*,9*, 39, 52, 58,70, 65, 32*, 29*Ruth: 54, 59, 35, 41, 46, 25, 47, 60, 54, 46, 49, 46, 41,34, 22a) Find the 5-number summary for McGwire’s career.b) Do any of his seasons appear to be outliers? Explain.c) McGwire played in only 18 games at the end of hisfirst big league season, and missed major portions ofsome other seasons because of injuries to his backand knees. Those seasons might not be representativeof his abilities. They are marked with asterisks in the list above. Omit these values and make parallel box-plots comparing McGwire’s career to Babe Ruth’s. d) Write a few sentences comparing the two sluggers. e) Create a side-by-side stem-and-leaf display compar-ing the careers of the two players. f) What aspects of the distributions are apparent in thestem-and-leaf displays that did not clearly show inthe boxplots?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter6: Ratio, Proportion, And Probability
Section6.8: The Multiplication Principle
Problem 2E
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Sluggers Babe Ruth was the first great “slugger” in
baseball. His record of 60 home runs in one season held
for 34 years until Roger Maris hit 61 in 1961. Mark
McGwire (with the aid of steroids) set a new standard of
70 in 1998. Listed below are the home run totals for each
season McGwire played. Also listed are Babe Ruth’s
home run totals.
McGwire: 3*, 49, 32, 33, 39, 22, 42, 9*,9*, 39, 52, 58,
70, 65, 32*, 29*
Ruth: 54, 59, 35, 41, 46, 25, 47, 60, 54, 46, 49, 46, 41,
34, 22
a) Find the 5-number summary for McGwire’s career.
b) Do any of his seasons appear to be outliers? Explain.
c) McGwire played in only 18 games at the end of his
first big league season, and missed major portions of
some other seasons because of injuries to his back
and knees. Those seasons might not be representative
of his abilities. They are marked with asterisks in the
baseball. His record of 60 home runs in one season held
for 34 years until Roger Maris hit 61 in 1961. Mark
McGwire (with the aid of steroids) set a new standard of
70 in 1998. Listed below are the home run totals for each
season McGwire played. Also listed are Babe Ruth’s
home run totals.
McGwire: 3*, 49, 32, 33, 39, 22, 42, 9*,9*, 39, 52, 58,
70, 65, 32*, 29*
Ruth: 54, 59, 35, 41, 46, 25, 47, 60, 54, 46, 49, 46, 41,
34, 22
a) Find the 5-number summary for McGwire’s career.
b) Do any of his seasons appear to be outliers? Explain.
c) McGwire played in only 18 games at the end of his
first big league season, and missed major portions of
some other seasons because of injuries to his back
and knees. Those seasons might not be representative
of his abilities. They are marked with asterisks in the
list above. Omit these values and make parallel box-
plots comparing McGwire’s career to Babe Ruth’s.
plots comparing McGwire’s career to Babe Ruth’s.
d) Write a few sentences comparing the two sluggers.
e) Create a side-by-side stem-and-leaf display compar-
ing the careers of the two players.
ing the careers of the two players.
f) What aspects of the distributions are apparent in the
stem-and-leaf displays that did not clearly show in
the boxplots?
stem-and-leaf displays that did not clearly show in
the boxplots?
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