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 = 33.1, x2 = 27.2, x3 = 36.8, x4 = 30.9Suppose 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.)

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 = 33.1, x₂ = 27.2, x₃ = 36.8, x₄ = 30.9

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.)

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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