Hi Craig from Perris, CA. Hope you have a great day at school.
Great questions...glad you contacted Wyzant for help. I'm going to help you get started and help you along the way, but won't give you the answer. Once you learn how, you'll be a pro.
First of all, we will need to calculate the mean for the set of numbers you have: 12,53,141,219,500 You know how to do that RIGHT?
Add all the values and divide by the number
of values in the set:
12 + 53 + 141 + 219 + 500 = ( ? ) I know you can do that
Now, take the sum ( ? ) and divide it by the number of values in the set
so it will be ( ? ) ÷ 5 = the mean which we'll label m
NOW...subtract each of the values in your set by the mean. This will give you a difference[labeled d ], either a negative or a positive value. then we square that value. Here is the example: we calculate the mean m so
12 - m = d2
52 - m = d2
141 - m = d2
219 - m = d2
500 - m = d2
By squaring each of the differences [ d2 ] we end up with a positive number even if our difference is a negative number.
Then you are going to add each of the squared difference like getting the mean, then divide it by the number of times you did that, which is 5
It will look like this:
d2 + d2 + d2 + d2 + d2 = the mean of all the d2
Lastly divide the 'mean of all the d2 and divide it by 5. That is the Standard Deviation of your set: 12,53,141,219,500
Practice this and you will be a pro.
Giving you the answer is too easy.
Let me know if you have trouble, contact me on Wyzant