Question

Compute the mean and standard deviation of the population 2,6,8,10,12,14

Answer 1

$X = \{2,6,8,10,12,14\}$

n=7 because there are 7 number in the population.

The mean is

$\displaystyle \mu = E[X] = \frac{\sum X_i}{n} = \frac{2+6+8+10+12+14}{7}=7.429$

The standard deviation for population is

$\displaystyle s = \sqrt{\frac{\sum (X_i - \mu)^2}{n}}= 3.944$

Answer: 7.429, 3.944