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Matilda was curious if sample interquartile range (IQR) was an unbiased estimator of population IQR. She placed ping pong balls numbered from 000 to 323232 in a drum and mixed them well. Note that the IQR of the population is 161616. She then took a random sample of 555 balls and calculated the IQR of the sample. She replaced the balls and repeated this process for a total of 505050 trials. Her results are summarized in the dotplot below, where each dot represents the sample IQR from a sample of 555 balls. 00551010151520202525Sample IQR Based on these results, does sample IQR appear to be a biased or unbiased estimator of population IQR

Sagot :

22racheljohnson

Answer: Sample IQR appears to be a biased estimator since it consistently underestimated the population IQR.

Step-by-step explanation: Checked by Khan Academy

Answer: Sample IQR appears to be a biased estimator since it consistently underestimated the population IQR.

Step-by-step explanation: We were told that the IQR of this population was 16, and Matilda’s sample IQRs appear to be centered below 16.

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