
Concept explainers
i.
To calculate the percentile rank for the United States.
i.

Answer to Problem 6CYU
The percentile rank of United States is 90
Explanation of Solution
Given information:
Data of medals counts of some countries
Country | Total |
Belarus | 6 |
France | 15 |
Austria | 17 |
Norway | 26 |
Russia | 33 |
Switzerland | 11 |
Netherlands | 24 |
United states | 28 |
Germany | 19 |
Canada | 25 |
Formula Used:
Calculation:
Re-arranging the countries in an ascending orders of their medals,
Country | Medals |
Belarus | 6 |
Switzerland | 11 |
France | 15 |
Austria | 17 |
Germany | 19 |
Netherlands | 24 |
Canada | 25 |
Norway | 26 |
United states | 28 |
Russia | 33 |
For percentile,
Substituting the values in the percentile formula,
On solving,
Hence, United States is at 90th percentile.
Conclusion:United States is at 90 percentile.
ii.
To calculate which countries are below 50th percentile?
ii.

Answer to Problem 6CYU
Austria, France, Switzerland and Belarus are above 50th percentile
Explanation of Solution
Given information:Data of medals of all countries
Country | Medals |
Belarus | 6 |
Switzerland | 11 |
France | 15 |
Austria | 17 |
Germany | 19 |
Netherlands | 24 |
Canada | 25 |
Norway | 26 |
United states | 28 |
Russia | 33 |
Formula Used:
Calculation:
Substituting the values in the formula,
So,
On solving,
Comparing the value to the table,
Austria, France, Switzerland and Belarus are above 50th percentile Conclusion:Austria, France, Switzerland and Belarus are above 50th percentile
iii.
To calculate which countries are above 70th percentile?
iii.

Answer to Problem 6CYU
Netherlands, Germany, Austria, France, Switzerland and Belarus are above 70th percentile
Explanation of Solution
Given information: Data of medals of some countries
Country | Medals |
Belarus | 6 |
Switzerland | 11 |
France | 15 |
Austria | 17 |
Germany | 19 |
Netherlands | 24 |
Canada | 25 |
Norway | 26 |
United states | 28 |
Russia | 33 |
Formula Used:
Calculation:
Substituting the values in the formula,
So,
On solving,
Comparing the value to the table,
Netherlands, Germany, Austria, France, Switzerland and Belarus are above 70th percentile Conclusion: Netherlands, Germany, Austria, France, Switzerland and Belarus are above 70th percentile
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Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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