Suppose that you had the following data set. 500 200 250 275 300 suppose that the value 500 was a typo, and it was suppose to be negative (-500). how would the value of the standard deviation change?

The absolute difference is:

If we find the % of change respect the before case we have this:

So then is a big change.

Step-by-step explanation:

The subindex B is for the before case and the subindex A is for the after case

Before case (with 500)

For this case we have the following dataset:

500 200 250 275 300

We can calculate the mean with the following formula:

And the sample deviation with the following formula:

After case (With -500 instead of 500)

For this case we have the following dataset:

-500 200 250 275 300

We can calculate the mean with the following formula:

And the sample deviation with the following formula:

And as we can see we have a significant change between the two values for the two cases.

The absolute difference is:

If we find the % of change respect the before case we have this:

So then is a big change.

i get you, what you should do is think of the positive things that would come out of it. it will make yours parents proud and raise your grade. you should always try and if you can't focus tell the teacher.