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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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:

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=
mean=
mean= 978
median =size ()th observation
median = size ()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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