Explain why a distribution with median M=446​, mean μ=446​, first quartile Q1=236​, and third quartile Q3=646

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Explain why a distribution with median
M=446​,
mean
μ=446​,
first quartile
Q1=236​,
and third quartile
Q3=646
cannot be a normal distribution.
Choose the correct answer below.
 
 
A.
The given distribution cannot be a normal distribution because the median is larger than the first quartile.
 
B.
The given distribution cannot be a normal distribution because the median is equal to the mean.
 
C.
The given distribution cannot be a normal distribution because the first and third quartiles are not the same distance from the mean.
 
D.
The given distribution cannot be a normal distribution because the first quartile is not equal to the third quartile.
 
E.
Not enough information is given to determine if the distribution cannot be a normal distribution.
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