The mean of a normal distribution is 500 and 16%of the values are greater than 600 . Find the standard deviation of this distribution .
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Given : mean of the normal distribution is 500 and 16% of the value is greater then 600
To Find : the standard deviation of the distribution
Solution:
Mean = 500
16% of the value is greater then 600
=> 84 % value are less then 600
84 % values refer to Z score = 0.995 ≈ 1
Z score = ( Value - Mean )/ SD
SD = Standard deviation
=> 1 = ( 600 - 500)/SD
=> SD = 100
standard deviation of the distribution = 100
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