Chapter 3 sec 3

# Chapter 3 sec 3 - MeasuresofPosition Chapter3Section3...

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Measures of Position 1 Chapter 3 Section 3 Data Description Mr. Kenneth Horwitz October 13, 2010

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3-3 Measures of Position Z-score Percentile Quartile Outlier 2
Measures of Position: Z-score z-score  or  standard score  for a value is obtained  by subtracting the mean from the value and  dividing the result by the standard deviation. A z-score represents the number of standard  deviations a value is above or below the mean. 3 X X z s - = X z μ σ - =

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Vehicle Speed The mean speed of vehicles along a stretch of highway  is 56 miles per hour with a standard deviation  of 4  miles per hour.  You measure the speed of three cars  traveling along this stretch of highway as 62 miles per  hour, 47 miles per hour and 56 miles per hour.  Find  the z-score that corresponds to each speed.  What can  you conclude? 4 Each z-score is how many standard deviations away from the mean they are. 62 56 1.5 4 X X z s - - = = = 47 56 2.25 4 X X z s - - = = = - 56 56 0 4 X X z s - - = = =
Example 3-29: Test Scores A student scored 65 on a calculus test that had a mean

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## This note was uploaded on 12/09/2011 for the course STATS 221 taught by Professor Nielson during the Fall '10 term at BYU.

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Chapter 3 sec 3 - MeasuresofPosition Chapter3Section3...

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