Quantitative: data values with known units Shapes: Histograms: symmetric, skewed, outlier (straggler) Stem-and-leaf, Stemplot Dotplots Modes: unimodal, bimodal, multimodal; uniform (no mode) Centers: Median Mean Spreads: range interquartile range, IQR (25th and 75th percentiles) 5-number summary (0th, 25th, 50th, 75th, 100th percentiles) standard deviation and variance Item #s - - - - - - - The Data, weights - - - - - - - men 1- 5 6-10 11-15 16-20 21-25 26-27 125 155 165 170 185 225 130 155 165 170 200 330 135 160 170 175 210 135 160 170 180 210 140 165 170 180 220 Some questions: #1) How would a large outlier affect the centers: mean, and median? #2) How would a large outlier affect the dispersion: range, IQR, and standard deviation? #3) If a distribution of data is close to uniform then the best way to measure dispersion of data would be: the IQR or standard deviation? #4) When would the picture of the 5-number summary be the same as the boxplot? #5) If a unimodal histogram is skewed to large values then would you expect the mean or the median to be larger? #6) ... practice CC.