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12-2 Measures of Variation

12-2 Measures of Variation. Why are measures of variation important in interpreting data?. Winning in Daytona. The race that attracts the largest audience in auto racing is the Daytona 500. The average speed of each winning car from 1990 to 2001 is shown (Source: The World Almanac ).

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12-2 Measures of Variation

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  1. 12-2 Measures of Variation Why are measures of variation important in interpreting data?

  2. Winning in Daytona The race that attracts the largest audience in auto racing is the Daytona 500. The average speed of each winning car from 1990 to 2001 is shown (Source: The World Almanac).

  3. What is the fastest speed? • What is the slowest speed? • Find the difference between these speeds.

  4. Measures of Variation • measures of variation – in statistics, are used to describe the distribution of data • One measure of variation is the range. • range – the difference between the greatest and the least values of a set of data

  5. Range Please find the range of each set of data: • {5,11,16,8,4,7,15,6} • {$79,$42,$38,$51,$63,$91}

  6. quartiles – the values in a set of data that divide the data into four equal parts. Recall that the median of a set of data separated the set in half. 33 35 40 40 41 43 44 46 50 68 lower half Upper half median The median of the lower half of the data is called the lower quartile or LQ. The median of the lower half of the data is called the upper quartile or UQ.

  7. Interquartile Range interquartile range – another measure of variation, the range in the middle of the data. It is the difference between the upper quartile and the lower quartile range = UQ - LQ

  8. Please find the interquartile range for each set of data: • {27,37,21,54,47,35} • {7,12,3,2,11,9,6,4,8}

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