Assume a population of 40, 45, 47, and 53. Assume that samples of size n = 2 are randomly selected with replacement from the population. Listed below are the sixteen different samples. Find the Sample Median and Probability of each grouping, and then compare the population median to the mean of the sample medians. Choose the correct answer below. A.The population median is equal to half of the mean of the sample medians. B.The population median is equal to double the mean of the sample medians. C.The population median is equal to the mean of the sample medians. D.The population median is not equal to the mean of the sample medians (it is also not half or double the mean of the sample medians). 40,4040,4540,4740,5345,4045,4545,4745,5347,4047,4547,4747,5353,4053,4553,4753,53

Given that Population : (40,45,47,53)

Answered: Assume a population of 40, 45, 47, and…

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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Assume a population of 40, 45, 47, and 53. Assume that samples of size n = 2 are randomly selected with replacement from the population. Listed below are the sixteen different samples.

Find the Sample Median and Probability of each grouping, and then compare the population median to the mean of the sample medians. Choose the correct answer below.

	A.	The population median is equal to half of the mean of the sample medians.
	B.	The population median is equal to double the mean of the sample medians.
	C.	The population median is equal to the mean of the sample medians.
	D.	The population median is not equal to the mean of the sample medians (it is also not half or double the mean of the sample medians).

40,40
40,45
40,47
40,53
45,40
45,45
45,47
45,53
47,40
47,45
47,47
47,53
53,40
53,45
53,47
53,53

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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