Matt Decovsky wants to buy a 160W CD player for his car at an online auction site. Before bidding, he decides to do some research on the selling price of recently sold CD players. His search comes up with these 20 prices.
a. Find the mean, median, and mode.
b. Draw a box plot of the data. Describe its shape.
c. Find the inter-quartile range and determine whether there are any outliers.
d. While looking over the items' descriptions, Matt realizes that the outlier CD players contain features that don't interest him. If he removes the outliers, will the mean or the median be less affected? Explain.
e. Sketch a new box plot with the outliers removed. How does this help you support your answer in 15d?
f. If you were Matt, what might you set as a target price in your bidding? Explain your reasoning.

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$74.00 $102.50 $64.57 $74.00 $82.87 73.0 $77.00 $71.00 $71.01 $112.50 $86.00 $102.50 $76.00 $56.00 135.50 $66.00 $71.00 $76.00 $51.00 $88.00