Answered: The boxplot shows the number of bees in…

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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Understanding and interpreting box plots

1) The boxplot shows the number of bees in its colonies from a data sample. Using the provided boxplot, analyze the distribution of the number of bees in the colonies with regards to the center, spread, shape, and potential outliers displayed by the plot. Answer the following questions about the centre, spread, shape and possible outliers for the boxplot

a) Centre: What is the median?

b) Spread: What is the IQR? That is the width or length of the box

c) Shape: Is the median in the middle of the box? Or is the median closer to one of the quartiles?

d) And finally are there any outliers?

Number of bees
505
455
405
355
305
255
205
155
105
55
5
Count of Bees in All Colonies

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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