the heights of 1000 students in a college are normally distributed with a mean 5'10" and a SD of 2". Use 68% for the region from the mean to 1-SD on either side; 94% for the region from the mean to 2-SD on ether side and 98% for the region from the mean to 3-SD on either side. Find the approximate number of students in each range of the heights:
5'8" - 6"
5'6" - 6'2"
Above 5'10"
below 6"
above 5'8"
5'8" - 6'4"
Z score is the raw score in terms of standard deviations.
Z = (score-mean)/SD
Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportions related to the Z scores. Multiply by 1000.