© 2004 Cayman Business Systems
Rev: Pre-G3 - Rendered  Thursday, February 12, 2004
Slide 26
Elsmar.com  --- The Cove!
8-Disciplines Problem Solving
Elsmar.com
Basic Terms
•This is X-Bar. It tells us the Average of a group of numbers (in this case average height). X-Bar is the middle of the curve where we have the largest percentage of men.
• s = sigma = Standard Deviation
•s is the Greek letter Sigma. It is the distance from the center of the curve to the point where the curve stops curving downward and starts curving outward. We’re interested in points at 1, 2 and 3 Standard Deviations from the Mean (the center).
•Mean
•If we measure 1 Standard Deviation on each side of the center of the curve , 68% of the Area will be between the lines drawn through these points.
•
•The Human Proportions table tells us the Standard Deviation (s - dispersion) of men’s heights is 0.07 meters, so by simple addition and subtraction we know that 68% of the men are between 1.73 and 1.87 meters.
•1.8 + 0.07 = 1.87
•1.8 - 0.07 = 1.73
•X = X-Bar = Average