In: Statistics and Probability
Since a normal distribution is taken into account, what
percentage of the distribution values will fall in the range of a
standard deviation below and above the mean?
A -) %68
B -) %50
C -) %99.7
D -) %99.5
Z value for a standard deviation below the mean =-1
Z value for a standard deviation above the mean = +1
from normal distribution curve:
P(Z=-1) =0.1587
P(Z=+1) =0.8413
a standard deviation below and above the mean = P(Z=+1) -P(Z=-1)
a standard deviation below and above the mean = 0.8413-0.1587=0.6826
a standard deviation below and above the mean = 68.26%
ie., a standard deviation below and above the mean = 68%
Option -A