Dr.Stat

Het gemiddelde en de variantie in de populatie zijn eenvoudig te berekenen: $\begin{array}{ccc}\mu & =& \frac{\sum x}{N}\\ & =& \frac{1000\times 0+1000\times 1+\dots +1000\times 9}{10000}\\ & =& \frac{0+1+\dots +9}{10}\\ & =& \frac{45}{10}\\ & =& 4.5.\end{array}$ $\begin{array}{ccc}{\sigma }^2& =& \frac{\sum d^2}{N}\\ & =& \frac{1000\times (-4.5{)}^2+1000\times (-3.5{)}^2+\dots +1000\times (4.5{)}^2}{10000}\\ & =& \frac{(-4.5{)}^2+(-3.5{)}^2+\dots +(4.5{)}^2}{10}\\ & =& \frac{82.5}{10}\\ & =& 8.25.\end{array}$