Concept explainers
a.
To calculate who is at 50th percentile.
a.
Answer to Problem 4MCQ
D is at 50th percentile.
Explanation of Solution
Given information:
The scores for a dance competition are,
Name | Score |
A | 87 |
B | 91 |
C | 90 |
D | 88 |
E | 79 |
F | 82 |
G | 94 |
H | 81 |
Formula used:
Rank formula,
Calculation:
Re-arranging the values in an ascending order,
Name | Score |
E | 79 |
H | 81 |
F | 82 |
A | 87 |
D | 88 |
C | 90 |
B | 91 |
G | 94 |
Substituting the values,
So,
On solving,
On rounding off,
Comparing with the table,
D is at 50th percentile.
Conclusion: D is at 50th percentile.
b.
To calculate which contestants are below the 25th percentile.
b.
Answer to Problem 4MCQ
E is below 25th percentile.
Explanation of Solution
Given information:
The scores for a dance competition are,
Name | Score |
E | 79 |
H | 81 |
F | 82 |
A | 87 |
D | 88 |
C | 90 |
B | 91 |
G | 94 |
Formula used:
Rank formula,
Calculation:
Substituting the values,
So,
On solving,
On rounding off,
Comparing with the table,
E is below 25th percentile.
Conclusion: E is below 25th percentile.
c.
To calculate B’s percentile.
c.
Answer to Problem 4MCQ
B is at 75th percentile.
Explanation of Solution
Given information:
The scores for a dance competition are,
Name | Score |
E | 79 |
H | 81 |
F | 82 |
A | 87 |
D | 88 |
C | 90 |
B | 91 |
G | 94 |
Formula used:
Percentile is,
Calculation:
Substituting the values,
On solving,
Hence, B is at 75th percentile.
Conclusion: B is at 75th percentile.
Chapter 10 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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