Statistics

1. Statistics Measures of Variation, Box-and-Whisker Plots, and Standard Deviation

2. 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)

3. 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

4. 2. 1055, 1075, 1095, 1125, 1005, 975, 1125, 1100, 1145, 1025, 1075

5. 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

6. 4. 1055, 1075, 1095, 1125, 1005, 975, 1125, 1100, 1145, 1025, 1075

7. 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.

8. Find the standard deviation for each set of data. 5. {11,7,2,4,1}

9. 6. {29,45,38,51,47,39,37,40,36,48}