a car salesman sells cars with prices ranging from $5,000 to $45,000. the histogram shows the distribution…

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. the salesman has observed that many students are looking for cars that cost less than $5,000. if he decides to also deal in cars that cost less than $5,000 and projects selling 200 of them over the next 10 years, how will the distribution be affected? a. the mean will shift to the right. b. the mean and the median will be the same. c. the median will shift to the right. d. the mean will shift to the left.

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. the salesman has observed that many students are looking for cars that cost less than $5,000. if he decides to also deal in cars that cost less than $5,000 and projects selling 200 of them over the next 10 years, how will the distribution be affected? a. the mean will shift to the right. b. the mean and the median will be the same. c. the median will shift to the right. d. the mean will shift to the left.

Answer

Brief Explanations:

When new data points are added to the lower end of an existing distribution, both the mean and the median are affected. The mean, being the average of all values, is pulled towards the new, lower values, causing it to shift to the left. The median, which is the middle value, will also shift to the left because the addition of values at the lower end increases the count of smaller values, effectively moving the central point of the ordered data to a lower value. Therefore, adding cars costing less than $5,000 will shift both the mean and the median of the car price distribution to the left.

Answer:

D. The mean will shift to the left.