Answered: i) 2.76: Insect Weights Consider 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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# i) 2.76: Insect Weights Consider a dataset giving the adult weight of species of insects. Most species of insects weigh less than 5 grams, but there are a few species that weigh a great deal, including the largest insect known: the rare and endangered Giant Weta from New Zealand, which can weigh as much as 71 grams. Describe the shape of the distribution of weights of insects. Is it symmetric or skewed? If it is skewed, is it skewed to the left or skewed to the right? Which will be larger, the mean or the median? # ii) 2.87: (Make up your own data set. Do not give the same answer as in the book!!) # Create a Dataset Give any set of five numbers satisfying the condition that: # a) The mean of the numbers is substantially less than the median. # b) The mean of the numbers is substantially more than the median. # c) The mean and the median are equal.

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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