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ID: 3070633 • Letter: C

Question

ctice Another Version-Google Chrome cure https//www.webassign.net/v4cgi/student/practice.tpl ctice Anothes Version . PODStat5 4.E 013 A sample consisting of four pieces of luggage was selected from among those checked at an airline counter, yielding the following data on x weight (in pounds). x-33.6, x2 27.1, x36.6, x4 30.3 Suppose that one more piece is selected and denote its weight by x. Find all possible values of s such that xsample median. (Enter your answers as a comma-separated list.) 23.9,31.9. 0. Grade This] Hide Answer Try Agein

Explanation / Answer

In order to compute the median, the data needs to be put into ascending order, as shown in the table below

Position X (Asc. Order)
1 27.1
2 30.3
3 33.6
4 36.6

Since the sample size n=4 is even, we have that (n+1)/2 = (4+1)/2 = 2.5 is not an integer value, the median is computing by taking the average of the values at the positions 2th and 3th, as shown below

median = 30.3+33.6=31.95