Teenagers send many text messages-recent polls cite medians of more than 50 per

Question

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-number summary for number of texts per day for this population: Minimum = 0 Quartile 1 = 20 Median = 55 Quartile 3 = 140 Maximum = 250 Suppose we take random samples of size 32 from this population and calculate Q1 for each of our samples. Below is a dotplot of Q1 from 50 such samples. Briefly explain what the dot at 35 represents. Is the sample Q1 an unbiased estimator of the population Q1? Justify your answer.

Explanation / Answer

Justified..

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