Question

A sample consist of the following n = 7 scores:

5, 0, 4, 5, 1, 2, 4

Compute the mean and standard deviation for the sample and find the z-score for each score in the sample.

Then, transform the original sample into a new sample with a mean of 50 and a standard deviation of 10.

Match the answers below according to your calculations

M =

s =

Original X: 5

Original X: 0

Original X: 4

Original X: 1

Original X: 2

  

Transformed X of z=1.00

  

Transformed X of z=0.50

Transformed X of z=-1.00

Answer 1

mean

M=3

S=2

We can calculate the standard Z score using the formula

We can use the same formula for finding the modified X but the mean and stadard deviation will be different a mean of 50 and a standard deviation of 10.

Original X	Standard Z score	Modified X = 50 + Z (10)
5		60
0		35
4		55
1		40
2		45