Question

Question
The distribution of price for queen size mattresses at a local store has a mean of $435 and a standard deviation of $212. Over
Memorial Day weekend, the store has a 20% off sale and gives an additional $50 rebate when a customer purchases a queen
mattress. What are the mean and standard deviation of the discounted prices?

Answer 1

Answer:

647

Step-by-step explanation:

Answer 2

Using statistical concepts, it is found that the mean of the discounted prices is of $298 while the standard deviation is of $169.6.

What happens to the mean and the standard deviation when there are changes in the distribution?

• When a constant is added to all elements of the data-set, the constant is also added to the mean, while the standard deviation remains constant.

• When a constant multiplies all elements of a data-set, both the mean and the standard deviation are multiplied by the constant.

In this problem, 20% off sale, hence the constant is of 0.8, then $50 is subtracted, so:

M = 0.8 x 435 - 50 = 298

S = 0.8 x 212 = 169.6

The mean of the discounted prices is of $298 while the standard deviation is of $169.6.

More can be learned about the mean and the standard deviation when a variable is added/multiplied at https://brainly.com/question/25639778