Please explain in steps how to solve this problem.

I have a population of n=5 scores 0, 6, 4, 3, 12

I need to compute meanand standard deviationfor the population

u____ o_____

I need to find the z score for each of the population, and transform the original population into a new population of n= 5 scores with a mean of u= 100 and a standard deviation of o= 20.

original x = 0 z score ____ transformed x___

original x= 6 z score _____ transformed x____

original x= 4 z score ____ transformed x ____

original x= 3 z score ____ transformed x ____

original x= 12 z score____ transformed x ____

1. u=(0+6+4+3+12)/5=5

o=sqrt{[(0-5)^2+(6-5)^2+(4-5)^2+(3-5)^2+(12-5)^2]/(5)}=4

2. since z=(x-u)/o, so x=zo+u

original …

The solution gives detailed steps on computing population mean and variance and transforming between two normal random variables.