Answered: An analyst produced the following…

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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An analyst produced the following summary statistics describing a quantitative variable:

n	Mean	Variance	Std. dev.	Median	Range	Q1	Q3
108	79.9	64.63	8.04	79.05	44.7	74	85.4

(a) The smallest value in the data set is 51. Should the analyst consider the value 51 to be an outlier on the low side?

(b) Justify your answer using an appropriate outlier identification rule. If you perform a calculations, give the pertinent calculations. If you create a graph, copy and paste it into the space.

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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