Skews and observation of box plot

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Question
Skews and observation of box plot
Variable: the amount of doctors per 10k people.
Mean: 21.6
Standard deviation: 17.59
Range of "Usual Values": 13.58 – 56.78
5- number summary:
Min: 0.1
Q1: 5.6
Median: 20.6
Q3: 32
Маx: 84.2
Воx plot:
Doctors per 10k
5.6
20.6
32
84.2
15
30
45
60
75
Transcribed Image Text:Variable: the amount of doctors per 10k people. Mean: 21.6 Standard deviation: 17.59 Range of "Usual Values": 13.58 – 56.78 5- number summary: Min: 0.1 Q1: 5.6 Median: 20.6 Q3: 32 Маx: 84.2 Воx plot: Doctors per 10k 5.6 20.6 32 84.2 15 30 45 60 75
Expert Solution
Step 1

Boxplot:

Boxplot is the simple way to plot the observations of the distribution, with five-number summary of order, minimum, first quartile Q1, median Q2, third quartile Q3, maximum. The boxplot can be used for determining whether the shape of the distribution is symmetric or skewed.

In the boxplot, border line towards the left side (bottom) of the box represents the value of first quartile. The median is the middle value of the data set. In the boxplot, the line in middle of the box represents median of the dataset. The border line towards the right side (top) of the box represents the value of third quartile. The point from where the lower whisker (left) starts is the minimum value and the point where the upper whisker (right) ends is the maximum value 

Shape of distribution using boxplot:

The distribution of data would be positively skewed (skewed right) when the center line (median) is closer to the left side (lower end) of the box.
The distribution of data would be negatively skewed (skewed left) when the center line (median) is closer to the right side (upper end) of the box.
The distribution of data would be symmetric when the center line (median) is at the center of box. The median divides the boxplot into to equal parts.

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman