Answered: The following table reports counts of…

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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The following table reports counts of the number of "close friends" reported by a sample of men and a sample of women.

Number of close friends	0	1	2	3	4	Total
Number of male respondents	200	120	100	51	20	491
Number of female respondents	250	135	95	63	27	570

a. Is the distribution corresponding to the number of female respondents roughly symmetric, skewed to the right, skewed to the left? Explain.

b. Calculate the median number of close friends for females. Round your answer to two decimal places.

c. Based on the shape of the distribution (and only accounting for the number of close friends for females), do you expect the median calculated in part b. to be greater than the mean, smaller than the mean, or about the same as the mean number of close friends for men? Do not calculate the mean.

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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