Difference between revisions of "Practice Identifying percentile ranks and scores based on standard deviation"
Line 5: | Line 5: | ||
1) Approximately what % of individuals earned scores below 50? | 1) Approximately what % of individuals earned scores below 50? | ||
− | |||
2) Approximately what % of individuals earned scores above 60 | 2) Approximately what % of individuals earned scores above 60 | ||
− | |||
3) Approximately what % of individuals earned scores below 30? | 3) Approximately what % of individuals earned scores below 30? | ||
− | |||
4) Approximately what % of individuals earned scores between 60 and 70? | 4) Approximately what % of individuals earned scores between 60 and 70? | ||
− | |||
5) Approximately what % of individuals earned scores between 30 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? | 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? | 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%