Answered: How do I explain if the mean and median…

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

How do I explain if the mean and median are different, comparing the tibia length before and after hurricane. BEFORE: Mean: 12.15197 Median: 12.96 AFTER: Mean:11.92828 Median: 12.16

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.

Expert Solution

Introduction

Mean is the average of all the data set and it is the measure of central tendency. It is calculated by adding all the observations divided by sample size. Median is the measure of central tendency and it is the middle value of the data set. It separate the data set into two equal halves.