Distribution B:Sample Mean55.68893333Median49.95SampleSkewness0.616181861Histogram25212017151410105.$0.00 to $24.99$25.00 to $49.99 $50.00 to $74.99 $75.00 to $99.99 $100.00 to $124.99$125.00 to $149.99Discuss the shape of the distributions using the histogram and sample statistics provided.Explain your reasoning.

Name: Distribution B:Sample Mean55.68893333Median49.95SampleSkewness0.61618
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Description: Distribution B:Sample Mean55.68893333Median49.95SampleSkewness0.616181861Histogram25212017151410105.$0.00 to $24.99$25.00 to $49.99 $50.00 to $74.99 $75.00 to $99.99 $100.00 to $124.99$125.00 to $149.99Discuss the shape of the distributions using th

Answered: Distribution B: Sample Mean 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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Distribution B:
Sample Mean
55.68893333
Median
49.95
Sample
Skewness
0.616181861
Histogram
25
21
20
17
15
14
10
10
5.
$0.00 to $24.99
$25.00 to $49.99 $50.00 to $74.99 $75.00 to $99.99 $100.00 to $124.99$125.00 to $149.99
Discuss the shape of the distributions using the histogram and sample statistics provided.
Explain your reasoning.

Expert Solution

Step 1

Histogram :

A histogram is the most commonly used graph to show frequency distributions. It looks very much like a bar chart, but there are important differences between them. This helpful data collection and analysis tool is considered one of the seven basic quality tools.

Peaks and spread :

Identify the peaks, which are the tallest clusters of bars. The peaks represent the most common values. Assess the spread of your sample to understand how much your data varies.

When to use :

Use a histogram when:

The data are numerical
You want to see the shape of the data’s distribution, especially when determining whether the output of a process is distributed approximately normally
Seeing whether a process change has occurred from one time period to another
Determining whether the outputs of two or more processes are different
You wish to communicate the distribution of data quickly and easily to others

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