Question 374488
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Hi,
Probability of being within 1 standard deviation ~68%... within two standard deviations from the mean  ~95% and ... within 3 standard deviations ~99.7%  Probability of a person chosen at random having a height between 67 and 73 inches is within '1 standard deviation of the mean' in this example (mean of 70 inches and a standard deviation of 3 inches)

Long hand:
P(height between 67 and 73 )
z = 73-70/3 = 1  
z = 67-70/3 = -1 

NORMSDIST(1) = .84135
NORMSDIST(-1)= .15866
P( height between 67 and 73) = .84135 - .15866 = .6827