(a)
To find which Team win the match.
(a)
Answer to Problem 31E
Team A wins the match because it has greater mean than Team B.
If Team with greater median will win, then Team B wins.
Explanation of Solution
Given information: Team A Score:
Calculation:
A) Team A:
Team A Score:
So, In Ascending Order
Team A Score:
- Mean
Mean =
So,
Mean =
Now,
Mean =
Hence,
Mean =
- Median
Median for even numbers =
So,
Median =
Now,
Median =
As,
So,
Median =
Hence,
Median =
B) Team B:
Team B Score:
So, In Ascending Order
Team B Score:
- Mean
Mean =
So,
Mean =
Now,
Mean =
Hence,
Mean =
- Median
Median for even numbers =
So,
Median =
Now,
Median =
As,
So,
Median =
Hence,
Median =
So,
Team A wins the match because it has greater mean than Team B.
Now,
If Team with greater median will win, then Team B wins.
(b)
To find which Team is more consistent.
(b)
Answer to Problem 31E
Team A.
Explanation of Solution
Given information: Team A: Mean =
Calculation:
Team A: Mean =
And
Team B: Mean =
So,
Mean and Median values of Team A are much similar than Team B.
Hence,
Team A is more consistent.
(c)
To find which Team win the match.
(c)
Answer to Problem 31E
Team B wins the match because it has greater mean than Team A.
Explanation of Solution
Given information: Team A Score:
Team A score increase by 15 and Team B score increase by 12.5%
Formula Used: Mean =
Calculation:
A) Team A:
Team A Score:
As,
Team A score increase by 15
Now,
Team A Score:
- Mean
Mean =
So,
Mean =
Now,
Mean =
Hence,
Mean =
B) Team B:
Team B Score:
As,
Team B score increase by 12.5%
Now,
Team B Score:
- Mean
Mean =
So,
Mean =
Now,
Mean =
Hence,
Mean =
So,
Team B wins the match because it has greater mean than Team A.
Chapter 11 Solutions
BIG IDEAS MATH Integrated Math 1: Student Edition 2016
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