Difference between revisions of "Practice Identifying percentile ranks and scores based on standard deviation"
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+ | == Suppose a test on math anxiety was given to a large group of individuals and the scores are from a normally distributed population in which the mean is 50 and the SD is 10 == | ||
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1) Approximately what % of individuals earned scores below 50? | 1) Approximately what % of individuals earned scores below 50? | ||
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2) Approximately what % of individuals earned scores above 60 | 2) Approximately what % of individuals earned scores above 60 | ||
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3) Approximately what % of individuals earned scores below 30? | 3) Approximately what % of individuals earned scores below 30? | ||
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4) Approximately what % of individuals earned scores between 60 and 70? | 4) Approximately what % of individuals earned scores between 60 and 70? | ||
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5) Approximately what % of individuals earned scores between 30 and 70? | 5) Approximately what % of individuals earned scores between 30 and 70? | ||
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6) A score of 60 on this test would give an individual a percentile rank of? | 6) A score of 60 on this test would give an individual a percentile rank of? | ||
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7) The average cost of a new car today is $17,500. If this is normally distributed with a SD of $2000 compute the following. If I am only willing to pay up to $15,500, what percentage of the total number of cars will fall inside my budget? | 7) The average cost of a new car today is $17,500. If this is normally distributed with a SD of $2000 compute the following. If I am only willing to pay up to $15,500, what percentage of the total number of cars will fall inside my budget? | ||
+ | ''contributed by Ashley Brooksbank'' | ||
== Answers == | == Answers == |
Latest revision as of 16:26, 4 November 2019
Suppose a test on math anxiety was given to a large group of individuals and the scores are from a normally distributed population in which the mean is 50 and the SD is 10
1) Approximately what % of individuals earned scores below 50?
2) Approximately what % of individuals earned scores above 60
3) Approximately what % of individuals earned scores below 30?
4) Approximately what % of individuals earned scores between 60 and 70?
5) Approximately what % of individuals earned scores between 30 and 70?
6) A score of 60 on this test would give an individual a percentile rank of?
7) The average cost of a new car today is $17,500. If this is normally distributed with a SD of $2000 compute the following. If I am only willing to pay up to $15,500, what percentage of the total number of cars will fall inside my budget?
contributed by Ashley Brooksbank
Answers
1) 50% 2) 16% 3) 2.15% 4) 13.6% 5) 95.4% 6) 84% 7) 16%