MIT OpenCourseWarehttp://ocw.mit.edu 11.220 Quantitative Reasoning & Statistical Methods for Planners I Spring 2009 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms.25 30 min1Qmed3Qmax● ● ● ● ● ● ● ● ● ● ● ● ● 0 5 10 15 20 25 30 Some scores Frequency 0 1 2 3 4 0 5 10 15 20a Some scoresmin1Qmed3Qmax ● ● ● ● ● ● ● ● ● ● ● ● ● Some scores 0 5 10 15 20 25 30 Boxplot of scores 0 5 10 15 20 25 30min1Qmed3Qmax ●●● ● ●● ● ● ●● ● ● 10 20 30 40 50 60 ● 10 20 30 40 50 60 Some different scores Boxplot of different scoresmin1Q med 3Q max ●●● ● ●● ● ● ●● ● ● 10 20 30 40 50 60 min1Q med 3Q max ●●● ● ●● ● ● ●● ● ● −1.0 −0.5 0.0 0.5 1.0 1.5 2.0 2.5 Some different scores, standardized Some different scoresGDP figures Frequency 0 40 80 120 0 10000 20000 30000 40000 a GDP figures ●●●● ● ●● ● ●● ●●● ●● ●●●●●● ● ● ●●●●●● ●●●● ●● ●●● ●● ●● ●●● ●● ●●●●●●● ●● ● ● ●●●●●● ●● ●● ●●●●●●● ●● ●●●● ● ●● ●● ● ●●●●●● ● ●●● ● ●●● ● ●● ●●●● ●●● ●● ●● ●●●● ●● ●● ●●● ●● ●●●●● ●●● ●●●●●● ● ● ● ●●● ●● ●●● ●● ●● ●● ●● ●●● ● ●● ●● ●● ● ●●●● ●● ● ●●●●●● ● ● ●●● ● ●●●●●●min1Qmed3Qmax0 10000 20000 30000 40000min1Qmed3Qmax ●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●● ●●●●●●●●●●●●●●●●●●●●●●●●●●●●● ●●●●●●●●●●● ●●●●●● ●●●● ●● ● ●●●● ●●● ● ●● ● ● ● ● ● ● ● ● ●●● ● ●● ●●●●● ● ● ● ●● ●●●●●● ● ● ● ● ● ● ● ●0 ●●●●●●10000 20000 30000 40000 ● ●● ●●●●● ● ● ● ●● ●●●●●● ● ● ● ● ● ●● ●0 10000 20000 30000 40000 GDP figures Boxplot of GDP●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●● ●●●●●●●●●●●●●●●●●●●●●●●●●●●●● ●●●●●●●●●●● ●●●●●● ●●● ● ●●●● ●●● ● ●● ● ● ● ● ● ● ● ● ●●● ● ●● ●●●●● ● ● ● ●● ●●●●●● ● ● ● ● ● ● ● ●0 min1Qmed3Q max●●●●●●●●●10000 20000 30000 40000 ●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●● ●●●●●●●●●●●●●●●●●●●●●●●●●●●●● ●●●●●●●●●●● ●●●●●● ●●● ● ●●●● ●●● ● ●● ● ● ● ● ● ● ● ● ●●● ● ●● ●●●●● ● ● ● ●● ●●●●●● ● ● ● ● ● ● ● ●min1Qmed3Q max ●●●●●●●●●0 1 2 3 4 GDP figures GDP figures