Cholesterol levels in the American adult population have app

Cholesterol levels in the American adult population have approximately a bell shaped distribution with a mean 162 and standard deviation 5.2. A \"healthy\" level is one that falls within the range of 95% of all cholesterol levels. What is the largest \"healthy\" cholesterol?

Solution

162 IS THE MEAN AND 5.2 IS THE STANDARD DEVIATION 5.2

THEREFORE THE VALUE CAN FLUCTUATES FROM 162-5.2 = 156.8 , 162+5.2 = 167.2

WE HAVE TO CALCULATE THE HIGHEST SO WILL WILL TAKE 167.2

AND AVERAGE IS 50%

SO 50% IS 167.2

100% WILL BE 326.4

HENCE 95% WILL BE 95*326.4/100 = 310.08