Data Sufficiency

The lifetime of all the batteries produced by a certain company in a year have a distribution that is symmetric about the mean m. If the distribution has a standard deviation of d, what percentage of the distribution is greater than m+d?
1) 68% of the distribution lies in the interval from m-d to m+d inclusive.
2) 16% of the distribution is less than m-d.

Stmt1)

68% lies between m-d and m+d, which means the other 32% lies outside that area.

since the disutrubution is symmetric about the mean, this 32% will be equally divided between less than m-d and more than m+d

thus, % more than m+d = 32/2 = 16%

Sufficient

Stmt2)

If 16% is less than m-d, then 16% is also greater than m+d, since the distribution is symmetric.

sufficient

IMO, (D). OA please?

Yup Kmittal82 you are right.

yep. OA is D
thanks folks