STAT 1000 Lecture Notes - Lecture 6: Box Plot, Supreme Headquarters Allied Powers Europe

• School: University of Manitoba
• Department: Statistics
• Course: STAT 1000
• Professor: Susan Miller

Document Summary

Stat 1000 lecture 6 examining distributions (continued) We have now seen two methods for reporting a numerical summary of our data: 1. In a symmetric distribution the mean is equal to the median. If our data is reasonably symmetric with no outliers, we should report the sample mean and sample standard deviation as they use all the data values. As the sample (cid:373)ea(cid:374) a(cid:374)d sa(cid:373)ple sta(cid:374)da(cid:396)d de(cid:448)iatio(cid:374) a(cid:396)e highl(cid:455) a e(cid:272)ted (cid:271)(cid:455) e(cid:454)t(cid:396)e(cid:373)e (cid:448)alues, ske(cid:449)ed dist(cid:396)i(cid:271)utio(cid:374) o(cid:396) i(cid:374) the p(cid:396)ese(cid:374)(cid:272)e of outlie(cid:396)s, (cid:449)e (cid:449)ould p(cid:396)efe(cid:396) the (cid:448)e- number summary. A box plot is a technique to visually describe the behavior of our observations in the (cid:373)iddle a(cid:374)d e(cid:374)ds of ou(cid:396) data set usi(cid:374)g the (cid:448)e-number summary. Fo(cid:396) ou(cid:396) (cid:271)(cid:396)idge data ou(cid:396) (cid:448)e-number summary was: 37. 66, 44. 84, 48. 26, 56. 06, 70. 87. We see there are several features to our box plot: Two lines around the median at q1 and q3 which form a box.