Statistics.  Percentiles ◦ Divides a data set into 100 equal parts  A score of 1700 on the SAT puts students in the 72 nd Percentile. ◦ 72% score 1700.

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Presentation transcript:

Statistics

 Percentiles ◦ Divides a data set into 100 equal parts  A score of 1700 on the SAT puts students in the 72 nd Percentile. ◦ 72% score 1700 or below ◦ 28% score 1700 or higher

 Z-Score ◦ Represents the number of standard deviations a given value falls from the mean. Z scores can be negative, positive, or zero

 Highway driving.  Mean speed is 56 mph  Standard Deviation is 4 mph  Find the z scores for 62, 47, & 56

Usual Score Unusual Score Very Unusual Score

 Finding the z-score also gives you the percentile for a given value  How to: Z

This means for z = 0, 50% of the population is below, 50% of the population is above. Z

 Time in the shower (min.)  Mean: 15 min.  Standard Deviation: 8 min.  Joe takes a shower for 25 minutes th Percentile 89% of people take a shower of 25 min. or shorter… 11% of people take a shower of 25 min. or longer

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