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- Apr 14, 2013

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In the following table there are the heights of the employees of a company:

- Calculate the mean value, the variance and the standard deviation of the heights of the employees.
- Determine the distribution of sampling with replacement of average number of children of each employee for sample size $2$.
- Which is the mean value and the variance of the sampling average?
- Which is the mean value of the sampling variances?
- Which is the mean value of the sampling standard deviations?

I have done the following:

- The mean value is equal to $\frac{1436}{8}=179.5$.

The variance is equal to $\displaystyle{s^2=\frac{\sum_{i=1}^n\left (x_i-\overline{x}\right )^2}{n}}$.

The standard deviation is equal to $\displaystyle{s=\sqrt{108.5}=10.42}$.

- I don't really understand this question. How is this related to the given data? Is there maybe a typo and instead of number of children it should be the height? But even in this case, I don't understand what we have to do here. Do you have an idea?