Math 11 Elementary Statistics In Class 3.3 Measures of Position (or location) Name Date Example 1: Computing and interpreting z- Scores A National Center for Health Statistics study states that the mean height for adult men in the United States is u = 69.4 inches, with a standard deviation of o = 3.1 inches. The mean height for adult women is u = 63.8 inches, with a standard deviation of o = 2.8 inches. Who is taller relative to their gender, a man 73 inches tall, or a woman 68 inches tall? Work through this problem in steps: The man's height is X = The men's mean is = The men's standard deviation is The man's z-score is z = (x - p)/o = ( _- So standard deviations from the mean Zman = The woman's height is x = The women's mean is The women's standard deviation is The woman's z-score is z = (x - p)/o = (___- standard deviations from the mean So Zwoman %3D Which one is larger? Example 2: 0.00, 0.08, 0.13, 0.14, 0.16, 0.17, 0.20, 0.29, .056, 0.70, 0.79 L = .25(11) = 2.75 which rounds to 3, so the 3rd number is the 25th percentile and its value is L = .50(11) = 5.5 which rounds to 6, so the 6th number is the 50th percentile, or the median and its value is L = .75(11) = 8.25 which rounds to 9, so the 9th number is the 75th

Math 11 Elementary Statistics In Class 3.3 Measures of Position (or location) Name Date Example 1: Computing and interpreting z- Scores A National Center for Health Statistics study states that the mean height for adult men in the United States is u = 69.4 inches, with a standard deviation of o = 3.1 inches. The mean height for adult women is u = 63.8 inches, with a standard deviation of o = 2.8 inches. Who is taller relative to their gender, a man 73 inches tall, or a woman 68 inches tall? Work through this problem in steps: The man's height is X = The men's mean is = The men's standard deviation is The man's z-score is z = (x - p)/o = ( _- So standard deviations from the mean Zman = The woman's height is x = The women's mean is The women's standard deviation is The woman's z-score is z = (x - p)/o = (___- standard deviations from the mean So Zwoman %3D Which one is larger? Example 2: 0.00, 0.08, 0.13, 0.14, 0.16, 0.17, 0.20, 0.29, .056, 0.70, 0.79 L = .25(11) = 2.75 which rounds to 3, so the 3rd number is the 25th percentile and its value is L = .50(11) = 5.5 which rounds to 6, so the 6th number is the 50th percentile, or the median and its value is L = .75(11) = 8.25 which rounds to 9, so the 9th number is the 75th

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Description: Math 11 Elementary StatisticsIn Class 3.3Measures of Position (or location)NameDateExample 1: Computing and interpreting z-ScoresA National Center for Health Statistics study states that the mean height foradult men in the United States is u = 69.4

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from a data set, his height converts to the z score of 5.17. How many standard deviations is his height above the mean?
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