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## Statistics

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**Statistics**Measures of Variation, Box-and-Whisker Plots, and Standard Deviation**range: difference between the greatest and least values in**the set of data lower quartile: median of the lower half of the data upper quartile: median of the upper half of the data interquartile range: difference between the upper and lower quartiles outliers: any value that is at least 1.5 interquartile ranges beyond the upper or lower quartile boundaries: UQ + 1.5IQR (upper limit) LQ – 1.5IQR (lower limit)**Find the range, quartiles, interquartile range, and outliers**for each data set. 1. 4,1,2,7,7,5,4,1,8,20,2,11,7,7,1**2. 1055, 1075, 1095, 1125, 1005, 975, 1125, 1100, 1145,**1025, 1075**For a box-and-whisker plot, the following items must be**found: quartiles, least value and greatest value that is not an outlier, and outliers Make a box-and-whisker plot for the following. 3. 4,1,2,7,7,5,4,1,8,20,2,11,7,7,1**4. 1055, 1075, 1095, 1125, 1005, 975, 1125, 1100, 1145,**1025, 1075**Follow these steps: (explanation/breakdown of formula)**• Find the mean. • Find the difference between each value and the mean. • Square these differences. • Find the mean of the squares. 5. Take the square root of the number from step 4.**Find the standard deviation for each set of data.**5. {11,7,2,4,1}