Question

If the purchase price for the colonial houses is reduced by $10,000, how much would the standard deviation for the colonial houses change?

Answer 1

The data set for the colonial houses will have a new mean after the $10,000 per colonial house reduction.

The standard deviation is a kind of measure of the average distance from the mean. since all scores and the mean have changed by the same amount, the average distance from the mean has not changed.

If you add the same number to every number on the list, or if you subtract the same number from every number on a list, all of the new lists produced would have exactly the same standard deviation as the original. Addition and subtraction slides values up and down the number line, but does not change any of the spacing between the numbers.

The standard deviation does not change.

Answer 2

then my answer isnt correct

Answer 3

Get a second opinion on this. Let's see who is online to help.

Answer 4

phi wasnt sure either

Answer 5

@kropot72

Answer 6

I am still sticking with my answer of $0 change.

We will wait for another opinion.

Answer 7

@Nnesha
@Luigi0210

Answer 8

@ freckles i need someone who knows math to see if they know this

Answer 9

@Howard-Wolowitz The explanation posted by @Directrix is correct. For confirmation I simulated the question with six different prices for houses and calculated the standard deviation. Then the six prices were reduced by $10,000, and the standard deviation recalculated. The standard deviation was exactly the same in each case.

Answer 10

ok but i dont understand, how much would it change ? none, or zero

Answer 11

zero.