Statistics 2.6

Statistics 2.6 - 2-6 Measures of Relative Standing...

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2-6 Measures of Relative Standing Objectives: Students will be able to Compute z -scores, quartiles, and percentiles for a data set; Use z -scores to interpret usual and unusual data values; Interpret and understand standard deviation. Standard Scores (aka z -Scores) A standard score, or z-score, is the number of standard deviations that a given value x is above or below the mean. It is found by evaluating the following formula: for samples or for populations xx x zz s μ σ −− == Round z to two decimal places. z-Scores and Unusual Values Recall the “Range Rule of Thumb”: A value is unusual if it is more than 2 standard deviations away from the mean. Computing and Using z -Scores (Page 93, #1) IQ Scores Stanford Binet IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an IQ of 160. a. What is the difference between Einstein’s IQ and the mean? b. How many standard deviations is that [the difference found in part (a)]?
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This note was uploaded on 04/08/2008 for the course MAT 143 taught by Professor Stone during the Spring '07 term at North Shore.

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Statistics 2.6 - 2-6 Measures of Relative Standing...

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