Question: Matilda was curious if sample interquartile range (IQR) was an unbiased estimator of population IQR. She placed ping pong balls numbered from 0 to 32

Matilda was curious if sample interquartile range (IQR) was an unbiased estimator 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. lllHlllHlllHlllHllHll 0 5 10 15 20 25 Sample IQR Based on these results, does sample IQR appear to be a biased or unbiased estimator of population IQR? Hint: The population lQR is 16. Choose 1 answer: X Quiz 1 . .. . . . . . . . . . . . . . . . . . . . . . . 70 74 78 82 86 90 Sample third quartile Based on these results, does sample third quartile appear to be a biased or unbiased estimator of population third quartile? Hint: The population third quartile is 80. Choose 1 answer: Sample third quartile appears to be a biased estimator since it consistently underestimated the population third quartile. B Sample third quartile appears to be a biased estimator since it consistently overestimated the population third quartile. C Sample third quartile appears to be an unbiased estimator of the population third quartile. Report a

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