MAST10011 Chapter Notes - Chapter 2: Exploratory Data Analysis, Quantile, Quartile

• School: University of Melbourne
• Department: Mathematics and Statistics
• Course: MAST10011
• Professor: Dr Rheanna Mainzer

Document Summary

Categorical: qualitative gender, colour, race, type of tumour, cause of death. Ordinal: categorical but with meaningful order - grades, degree of satisfaction, ratings, severity of injury. Discrete numerical: whole numbers - family size, age, number of cases, number of failures. Continuous numerical: can be rounded weight, height, score, blood pressure, cholesterol level. Sample mean (the centre of mass of the data), median (middle value)q. Quantiles: (cid:1855) =(cid:1876)(cid:4666)(cid:4667) (cid:1875) (cid:1857)(cid:1870)(cid:1857) (cid:1863)=(cid:4666)(cid:1866)+(cid:883)(cid:4667)(cid:1869: median = (cid:1855) 0. 5 solve for k, and then find the corresponding (cid:1876)(cid:4666)(cid:4667), e. g. k=2, the median is the second data point, lower quartile = (cid:1855) 0. 25, upper quartile = (cid:1855) 0. 75. Standard deviation (sqrt of the sample variance): (cid:1871)= (cid:1871)2, (cid:4666)(cid:1876) (cid:884)(cid:1871)(cid:4667)=95% (cid:1867)(cid:1858) (cid:1872) (cid:1857) (cid:1856)(cid:1872) (cid:4666)(cid:1873)(cid:1871)(cid:1873)(cid:1864)(cid:1864)(cid:1877)(cid:4667) Spread: order the data from lowest to highest or if k=7. 5 the median is halfway between data points 7 and 8. Bar graph categorical, ordinal, discrete numerical. Box plots graphical representation of the 5 number summary.