a normally distributed data has a mean of 0 and standard deviation of 0.5
what is the closest percentage of values between -1 and 1?
A) 34%
B)50%
C)68%
D)95%
Solution :
Given that ,
mean = = 0
standard deviation = = 0.5
P(-1 < x < 1) = P((-1 - 0)/ 0.5) < (x - ) / < (1 - 0) / 0.5) )
= P(-2 < z < 2)
= P(z < 2) - P(z < -2)
= 0.9772 - 0.0228
= 0.9544
=0.95
= 95%
The closest percentage of values between -1 and 1 is 95%
The option D is correct.
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