Suppose a normal distribution has a mean of 16 and a standard deviation of 4.

A value of 26 is how many standard deviations away from the mean?

Question

Suppose a normal distribution has a mean of 16 and a standard deviation of 4.

A value of 26 is how many standard deviations away from the mean?

mrnood · Answer

What is the actual value difference betwen 26 and 16?

then divide that by the SD (4)

welshfella · Answer

tgis is given by the standard normal variable z 

$$z = (x - \mu)  / $$

mouth4war · Answer

so it'd be 2.5 right?

mrnood · Answer

Yes = it is the z score of 26
=2.5

welshfella · Answer

z = (26 - 16) / 4

mouth4war · Answer

is the "z" in your equation the same thing as a z-score or are they different things? @welshfella

welshfella · Answer

it is  the z-score

mouth4war · Answer

Suppose the test scores of students in a class are normally distributed with a mean of 92 and a standard deviation of 3.

What is the z-score for a student that scored 86 on a test?

so for this, it'd be z = (86 - 92) / 3 right?

mrnood · Answer

Yes - that's right

Looks like you know how to do z scores now! :-)