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g) Are these data skewed? If so, how? h) Calculate the coefficient of variation? Explain what the number means. i) Compute and interpret the interquartile range.

g) Are these data skewed? If so, how? h) Calculate the coefficient of variation? Explain what the number means. i) Compute and interpret the interquartile range.

MATLAB: An Introduction with Applications
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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In the 2014-2015 academic year, many public universities in the United States raised tuition and fees due to a decrease in state subsidies. The change in the cost of tuition, a shared dormitory room, and the most popular meal plan from the 2014- 2015 academic year for a sample of 10 public universities were as follows: $1589, $593, $1223, $869, $423, $1720, $708, $1425, $922 and $308. Run the descriptive statistic measures for this data set and interpret the results for the following concepts:
Transcribed Image Text:In the 2014-2015 academic year, many public universities in the United States raised tuition and fees due to a decrease in state subsidies. The change in the cost of tuition, a shared dormitory room, and the most popular meal plan from the 2014- 2015 academic year for a sample of 10 public universities were as follows: $1589, $593, $1223, $869, $423, $1720, $708, $1425, $922 and $308. Run the descriptive statistic measures for this data set and interpret the results for the following concepts:
g) Are these data skewed? If so, how? h) Calculate the coefficient of variation? Explain what the number means. i) Compute and interpret the interquartile range.
Transcribed Image Text:g) Are these data skewed? If so, how? h) Calculate the coefficient of variation? Explain what the number means. i) Compute and interpret the interquartile range.
Expert Solution
Step 1

First write the data in ascending Order

308  423  593  708  869  922 1223 1425 1589 1720

g)

mean= ∑xn

mean=∑ 978010

mean= 978

median =size (n+12)th observation

median = size (10+12)th observation

median =size (5.5)th observation 

median =size (5)th+0.5*(size(6-5)th observation)

median =869+0.5*(922-869

median = 895.5

data is positively skewed because mean > median 

 

 

 

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