Question

A car salesman sells cars with prices ranging from $5,000 to $45,000. The histogram shows the distribution of the numbers of cars he expects to sell over the next

10 years.

How would the shape of the distribution change if the salesman decides to also deal in cars priced under $5,000 and in cars priced from $45,000 to $50,000 and projects sales of 200 cars in each category?


The distribution will exhibit symmetry.



The distribution will exhibit a positive skew.



The distribution will exhibit a negative skew.



The distribution will be uniform throughout.

Answer 1

The distribution will exhibit symmetry. 

Answer 2

Answer: The distribution will exhibit symmetry.

Explanation:

If a data is symmetric, it has about the same shape on either side of the middle, such that if you fold the histogram in half, it looks about the same on both sides.

The median and the mean of a symmetric distribution both occur at the point about which the symmetry occurs.

From the graph is clear that line x=$25000 can be placed in the middle of the histogram such that it divides histogram in two equal parts.