Question

A sample consisting of four pieces of luggage was selected from among the luggage checked at an airline counter, yielding the following data on x = weight (in pounds). X1 = 33.4, X2 = 27.8, X3 = 36.8, X4 = 30.4 Suppose that one more piece is selected and denote its weight by X5. Find all possible values of X5 such that x = sample median. (Enter your answers as a comma-separated list.) X5 31.9, 32.06 x

Answer 1

A four sample Values Xg? 27.8 < 2y = 30-4 c ,< 33.4 <H3=36.8 If the fifth value xs added must be rcdian, It Must lie bie b/n 3004 & 33.4 Thus the values 45 can take are 3004 <x<33a4 Vames of a cont can be 30-5, 30-6,30.7,30.8 30-9, 30.10,31.1,31.2,31.3,37.4,315,31.6, 31.7,3118 31.9,31.10,32.1, 32-2,32-3,32-4,32.5,326,327,32.8 32.9.32.10, 33.1, 33-2,33-3 ) CS Scanned with CamScanner