Question #185761

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


1
Expert's answer
2021-04-27T17:07:21-0400

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

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

The mean is

μ=E[X]=Xin=2+6+8+10+12+147=7.429\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

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


Answer: 7.429, 3.944


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