Matilda was curious if sample interquartile range (IQR) was an unbiased estima- tor of population IQR. She placed ping pong balls numbered from 0 to 32 in a drum and mixed them well. Note that the IQR of the population is 16. She then took a random sample of 5 balls and calculated the IQR of the sample. She replaced the balls and repeated this process for a total of 50 trials. Her results are summarized in the dotplot below, where each dot represents the sample IQR from a sample of 5 balls.
Matilda was curious if sample interquartile range (IQR) was an unbiased estima- tor of population IQR. She placed ping pong balls numbered from 0 to 32 in a drum and mixed them well. Note that the IQR of the population is 16. She then took a random sample of 5 balls and calculated the IQR of the sample. She replaced the balls and repeated this process for a total of 50 trials. Her results are summarized in the dotplot below, where each dot represents the sample IQR from a sample of 5 balls.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![Matilda was curious if sample interquartile range (IQR) was an unbiased estima-
tor of population IQR. She placed ping pong balls numbered from 0 to 32 in a drum and
mixed them well. Note that the IQR of the population is 16.
She then took a random sample of 5 balls and calculated the IQR of the sample. She replaced
the balls and repeated this process for a total of 50 trials. Her results are summarized in
the dotplot below, where each dot represents the sample IQR from a sample of 5 balls.
H||
5
10
15
25
Sample IQR
Based on these results, does sample IQR appear to be a biased or unbiased estimator of
population IQR? Explain briefly.
20](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa714d614-78a6-4d97-b2db-18c7cb38b192%2F82acc756-531d-4687-a2ad-ad0938d45ec7%2F8i3ou46_processed.png&w=3840&q=75)
Transcribed Image Text:Matilda was curious if sample interquartile range (IQR) was an unbiased estima-
tor of population IQR. She placed ping pong balls numbered from 0 to 32 in a drum and
mixed them well. Note that the IQR of the population is 16.
She then took a random sample of 5 balls and calculated the IQR of the sample. She replaced
the balls and repeated this process for a total of 50 trials. Her results are summarized in
the dotplot below, where each dot represents the sample IQR from a sample of 5 balls.
H||
5
10
15
25
Sample IQR
Based on these results, does sample IQR appear to be a biased or unbiased estimator of
population IQR? Explain briefly.
20
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