Which of the following statements are true? There may be more than one correct statement; check all that are true. a) The standard deviation will be equal to 0 only if all the observations in a data set are equal to 0. b) For mound-shaped distributions, approximately 50% of observations lie within 5 standard deviations of the mean. c) If we calculated the z-scores for every value in a sample data set, those z-scores would have a mean of 0. d) In a boxplot, the distance between the median and Q3 is always equal to the length of the upper whisker.

The true statement(s) has to be identified.

Answered: Which of the following statements are…

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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Which of the following statements are true? There may be more than one correct statement; check all that are true.

a)	The standard deviation will be equal to 0 only if all the observations in a data set are equal to 0.

b)	For mound-shaped distributions, approximately 50% of observations lie within 5 standard deviations of the mean.

c)	If we calculated the z-scores for every value in a sample data set, those z-scores would have a mean of 0.

d)	In a boxplot, the distance between the median and Q3 is always equal to the length of the upper whisker.

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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