1 The sample mean of observations x x2 Xn is given by 2

Last updated: 3/1/2023

1 The sample mean of observations x x2 Xn is given by 2 Sample median x 1 1 th ordered values average of 2 th and 1 th ordered values 3 Sample variance s x x Ex7 Ex or n 1 n 1 Ex 11 Number of outcomes containing A Total number of outcomes in the sample space when n is odd 4 Fourth spread Interquartile range fs upper fourth lower fourth 5 Any observation farther than 1 5f from the closest fourth is an outlier An outlier is extreme if it is more than 3f from the nearest fourth and it is mild otherwise P ANB P B when n is even 6 Let denote the null event When An B A and B are said to be mutually exclusive or disjoint events 7 P A UB P A P B P A n B 8 P A 1 P A 9 P A UA P S 1 10 P A N A N 11 Combination n k n k 12 Conditional probability of A given B P A B 13 The multiplication rule P A n B P A B P B