Please explain how to solve for a sample standard deviation with the z-scores.
The problem I am working on is given as a sample with M = 51, x = 59 corresponds to z = 2.00.
What is the standard deviation?
I also have a distribution score of u = 78
If I have a score of x = 70 which standard deviation would give you a better grade o= 4 or o= 8?
If the score was x = 80 which standard deviation would give you the better score the o= 4 or o= 8?
How do I set this problem up to be solved?
1. We know that z = (x-M)/sd where sd is what we need to solve.
So 2.00 = (59-51)/sd, so sd = 4
2. Now x = 70 ...
The solution gives detailed steps on computing standard deviation by applying standard normal formula and also comparing the z scores.