2.5 - 2-5 Measures of Variation Objectives: Students will...

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2-5 Measures of Variation Objectives: Students will be able to Compute the range, variation, and standard deviation for a set of data; Use the coefficient of variation to compare variation in different populations; Interpret and understand standard deviation. Problem (page 83, #11) Mickey D vs. Jack When investigating the times required for drive-through service, the following results (in seconds) are obtained (based on data from QSR Drive-Thru Time Study). McDonald’s: 287 128 92 267 176 240 192 118 153 254 193 136 Jack in the Box: 190 229 74 377 300 481 428 255 328 270 109 109 Compute the following Measures of Variation Range Range = (highest value) – (lowest value) Standard Deviation The standard deviation of a set of sample values is a measure of variation of values about the mean. It is a type of average deviation of values from the mean that is calculated by using one or the other of the formulas below: 22 () ( ) or 1( 2 1 ) x xn x ss nn n −− == ∑∑ x Use the following table to help you compute the Standard Deviation: Intro to Statistics 1 Measures of Variation
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Standard Deviation of the McDonald’s data: x x x 2 () x x 287 128 92 267 176 240 192 118
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2.5 - 2-5 Measures of Variation Objectives: Students will...

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