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Teenagers send many text messages-recent polls cite medians of more than 50 per day. Consider a large population of teenagers for whom the distribution

 

Teenagers send many text messages-recent polls cite medians of more than 50 per day. Consider a large population of teenagers for whom the distribution of the number of text messages sent per day is strongly skewed to the right. Here is the five-mumber summary for number of texts per day for this population: Minimum = 0 Quartile 1- 20 Median - 55 Quartile 3 - 140 ximum - 250 Suppose we take random samples of size 32 from this population and caleulate Q for cach of our samples. Below is a dotplot of Q, from 50 such samples. 12 18 24 30 36 42 48 Sample Frst Quartie (a) Briefly explain what the dot at 35 represents. (b) Is the sample Q, an unbiased estimator of the population Q.? Justify your answer.

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