
Concept explainers
(a)
The winning team.
If the team with more median score wins, the result remains the same or not.
(a)

Answer to Problem 31E
The team A with greater mean will win.
The result will not be the same if median is the criteria of winning.
Explanation of Solution
Given:
The given data sets are:
Team A: 172,130,173,212Team B: 136,184,168,192
Calculation:
The mean and median of team A will be:
Mean = 130+172+173+2124 = 171.75Median = 172+1732=172.5
The mean and median of team B will be:
Mean = 136+168+184+1924 =170Median = 168+1842=176
The team A with greater mean will win.
The result will not be the same if median is the criteria of winning.
(b)
The more consistent team.
(b)

Answer to Problem 31E
Team B is more consistent.
Explanation of Solution
Given:
The given data sets are:
Team A: 172,130,173,212Team B: 136,184,168,192
Calculation:
Team B is more consistent.
This is so because, the team is having an outlier, whereas, team B is having no outlier.
(c)
The winning team.
(c)

Answer to Problem 31E
The team B with greater mean will win.
Explanation of Solution
Given:
The given data sets are:
Team A: 172,130,173,212Team B: 136,184,168,192
Calculation:
All the scores of team A are increased by 15.
All the scores of team B are increased by 12.5%.
The new scores will be:
Team A: 145,187,188,227Team B: 153,189+207,216
The mean of team A will be:
Mean = 171.75+15=186.15
The mean of team B will be:
Mean = (12.5100×170)+170Mean = (21.25)+170Mean =191.25
The team B with greater mean will win.
Chapter 7 Solutions
BIG IDEAS MATH Integrated Math 1: Student Edition 2016
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