Question: Flavia was curious if a sample first quartile (or [Q_1]) was an unbiased estimator of a population first quartile. She started with a large normally
Flavia was curious if a sample first quartile (or \[Q_1\]) was an unbiased estimator of a population first quartile. She started with a large normally distributed population of test scores whose first quartile was \[Q_1=70\] points. She then took a random sample of \[6\] tests and calculated the first quartile of the sample. She replaced those tests and repeated this process for a total of \[50\] trials. Her results are summarized in the dotplot below, where each dot represents the first quartile from a sample of \[6\] tests. A dot plot for a sample first quartile has a scale from 60 to 80. The number of dots plotted for each are as follows. 60, 1
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