Compute the mean and standard deviation of the population 2,6,8,10,12,14
X={2,6,8,10,12,14}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}=7.429μ=E[X]=n∑Xi=72+6+8+10+12+14=7.429
The standard deviation for population is
s=∑(Xi−μ)2n=3.944\displaystyle s = \sqrt{\frac{\sum (X_i - \mu)^2}{n}}= 3.944s=n∑(Xi−μ)2=3.944
Answer: 7.429, 3.944
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