a. In your own words, describe to someone who knows only a little statistics how to recognize when an observation is an outlier. What action(s) should be taken with an outlier? b. Which measure of the center (mean or median) is more resistant to outliers, and what does "resistant to outliers" mean? HeightsGender = Female0.3-0.25-0.2-0.15-0.1-0.05-556065707580Height (Inches)Gender = Male0.3-0.25-0.2-0.15-0.1-0.05-0-556065707580Height (Inches)Relative FrequencyRelative Frequency A survey records the heights of a representative sample of youths aged 14 to 20. The accompanying histograms show data for the heights of males and females. If you were comparing the heights of males and females, whichmeasures of center and spread would you use? Why?Click the icon to view the histograms...If you were comparing the heights of males and females, which measures of center and spread would you use?O A. Mean and standard deviationB. Median and standard deviationO C. Mean and interquartile rangeD. Median and interquartile rangeExplain why you selected these measures of center and spread to compare the distributions. Choose the correct choice below.O A. The distributions are strongly right-skewed or have outliers.O B. The distributions are strongly left-skewed or have outliers.O C. The distributions are roughly symmetric and unimodal.O D. The distributions are bimodal or multimodal.

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Answered: A survey records the heights of a…

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. In your own words, describe to someone who knows only a little statistics how to recognize when an observation is an outlier. What action(s) should be taken with an outlier?

b. Which measure of the center (mean or median) is more resistant to outliers, and what does "resistant to outliers" mean?

Heights
Gender = Female
0.3-
0.25-
0.2-
0.15-
0.1-
0.05-
55
60
65
70
75
80
Height (Inches)
Gender = Male
0.3-
0.25-
0.2-
0.15-
0.1-
0.05-
0-
55
60
65
70
75
80
Height (Inches)
Relative Frequency
Relative Frequency

A survey records the heights of a representative sample of youths aged 14 to 20. The accompanying histograms show data for the heights of males and females. If you were comparing the heights of males and females, which
measures of center and spread would you use? Why?
Click the icon to view the histograms.
..
If you were comparing the heights of males and females, which measures of center and spread would you use?
O A. Mean and standard deviation
B. Median and standard deviation
O C. Mean and interquartile range
D. Median and interquartile range
Explain why you selected these measures of center and spread to compare the distributions. Choose the correct choice below.
O A. The distributions are strongly right-skewed or have outliers.
O B. The distributions are strongly left-skewed or have outliers.
O C. The distributions are roughly symmetric and unimodal.
O D. The distributions are bimodal or multimodal.

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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