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Discrete Math Section 17.2 Represent data using a box and whisker plot.
A box and whisker plot is a method for dividing a set of data into four parts called quartiles. Lower extreme – smallest value of a set of data Upper extreme – largest value of a set of data Lower quartile – median of the items less than the median Upper quartile – the median of the items greater than the median Box – extends from the lower to the upper quartiles Whiskers – extend from the quartiles to the extremes Range – the difference from between the extremes Interquartile range – difference between the quartiles Outliers – any data item whose distance to the nearer quartile exceeds 1.5 times the interquartile range
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example The ages of the 1st 41 presidents at the time they took office expressed as a stem and leaf plot 4 | 5 | 6 | 7 | 0 Find the extremes Find the median and the lower and upper quartiles Find the interquartile range Are there any outliers? Draw a box and whisker plot of the data
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example Consider the sets of score from two different algebra classes
1st class 72,74,78,78,80,81,85,87,88,90,91,92,96,98,99,99 2nd class 60,64,65,69,70,73,74,78,81,82,84,90 Express the data in back to back stem and leaf plots with 8 stems Express the data using 2 box and whisker plots
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Use a graphics calculator to represent the data
Calculator exercises Use a graphics calculator to represent the data 3,6,12,8,4,9,12,7,9,14,9,2,9,3,11,10,14,2,35 Using measures of central tendencies Using a box and whisker plot
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Assignment page 651 problems 2,3,4,6,7
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