select the correct answer. a car salesman sells cars with prices ranging from $5,000 to $45,000. the…

select the correct answer. 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.

select the correct answer. 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

Explanation:

Step1: Recall the concept of mean

The mean is the sum of all values divided by the number of values. Adding 200 cars with lower - priced values (less than $5000) will decrease the overall sum of prices per car when divided by the total number of cars.

Step2: Analyze the shift of the mean

Since the new data points (200 cars priced less than $5000) are lower than the existing price - range in the histogram, the mean will shift to the left. The median may or may not shift depending on the exact distribution of the original data, but the mean will definitely be affected by these lower - value data points.

Answer:

D. The mean will shift to the left.