convert a normal distribution score of 80 with a mean of 70 and a standard deviation of 6 into a z score

Question

anonymous · Answer

A z-score of one would be one standard deviation above the mean.  It looks like 80 is about 1.67 standard deviation above the mean.  z=1.67

anonymous · Answer

is there anyway you could show me how you got that solution?

anonymous · Answer

sigma is the standard deviation, so sigma =6.  

80-70 is ten, which is the difference between the score and the mean.  

10 = 1.67*6=1.67sigma (of course, this is rounded off).  The number of standard deviations from the mean is the z score.  80 is bigger than the mean, so the z score is positive.

That gives z=1.67

anonymous · Answer

Got that?

anonymous · Answer

yes i do thank you so much :)

anonymous · Answer

No sweat.  Do math every day.