A Vendor Offers Various T-Shirts for Sale on an Internet

Essay

A vendor offers various t-shirts for sale on an Internet commerce site.Some of his t-shirts sell quite well, others have yet to find an interested customer.The summary $$\begin{array} { | l | c | } \hline \bar { x } & 23 \\\hline \text { Median } & 15 \\\hline \text { Min } & 0 \\\hline \text { Q1 } & 3 \\\hline \text { Q3 } & 21 \\\hline \text { Max } & 82 \\\hline \text { sd } & 7.84 \\\hline\end{array}$$
statistics are listed on right, based on the number of sales
per month for each of 80 different t-shirt designs.
A.What is the shape of this distribution? Explain how you know.
B.If the vendor spends $2 per t-shirt in shipping costs, what is his average monthly costs
per t-shirt sold? What is the standard deviation of this cost? Show work.
c.As time passes, the vendor has simplified his profit calculation.He estimates that he has
monthly flat costs of $35, with a gain of $3.50 per t-shirt sold.What is the median of his
profit? The IQR?
d.What are the mean and standard deviation of his profit?
e.What is more appropriate in this case: using mean and standard deviation, or using
median and IQR?