URGENT A normal distribution of scores has a standard deviation of 10.Find the z-scores corresponding to each of the following values.show work

standard-deviation
normal-distribution

#1

URGENT A normal distribution of scores has a standard deviation of 10.Find the z-scores corresponding to each of the following values.show work
A score of 60,where the mean score of the sample data values is 40.
A score that is 30 points below the mean.
A score of 80 where the mean score of the sample data values is 30.

Answer:

Z score = (sample data value - mean) / standard deviation

A score of 60,where the mean score of the sample data values is 40.

Z score = (60 - 40) / 10 = 2

A score that is 30 points below the mean.

Z score = (-30) / 10 = -3

A score of 80 where the mean score of the sample data values is 30.

Z score = (80-30) / 10 = 5