Answered: 1.82 1.47 2.25 1.92 2.04 1.18 2.69 1.32…

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

Use the magnitudes (Richter scale) of the earthquakes listed in the data set below. Find the mean and median of this data set. Is the magnitude of an earthquake measuring 7.0 on the Richter scale an outlier (data value that is very far away from the others) when considered in the context of the sample data given in this data set? Explain.

a. Find the mean and median of the data set using a calculator or similar data analysis technology.

The mean of the data set is

(Round to three decimal places as needed.)

b. The median of the data set is

(Round to three decimal places as needed.)

1.79 2.18 1.26 1.23 1.28
1.18 0.09 1.47 1.03 2.09 1.63
1.56 0.29
0.89 0.61 1.43
2.31
0.04
1.87
2.35 2.59 2.04
1.82
1.47
0.67
2.25 1.92 2.04
2.69 1.32 1.48 2.43 2.78
2.95 1.43 1.39 0.48
2.94 2.94 0.89 2.26
1.46 1.52 D
1.79
0.77 0.13
0.32
2.19
1.77 2.09

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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