A certain characteristic in a large population has a distribution that is symmetric about the mean m...
A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 68 percent of the distribution lies within one standard deviation d of the mean, what percent E of the distribution is less than m +d ?
Answer/Solution
84%
Steps/Work
D
The prompt says that 68% of the population lies between m-d and m+d.
Thus, 32% of the population is less than m-d or greater than m+d.
Since the population is symmetric, half of this 32% is less than m-d and half is greater than m+d.
Thus, E=(68+16)% or (100-16)% of the population is less than m+d.D
The prompt says that 68% of the population lies between m-d and m+d.
Thus, 32% of the population is less than m-d or greater than m+d.
Since the population is symmetric, half of this 32% is less than m-d and half is greater than m+d.
Thus, E=(68+16)% or (100-16)% of the population is less than m+d.D