Statistics I20785 marksNumerical: moments about arbitrary pointMoments
Compute first four moments about arbitrary point 4 from following distribution and describe the characteristics of data.
Compute first four moments about arbitrary point 4 from following distribution and describe the characteristics of data.
$$\begin{array}{c|ccccc} X & 2 & 3 & 4 & 5 & 6 \ \hline f & 1 & 3 & 7 & 2 & 1 \ \end{array}$$
[5]
X 2 3 4 5 6 ------------------ f 1 3 7 2 1 $N = \sum f = 14$, Arbitrary point $A = 4$. Moment formula about $A$: $\mur' = \dfrac{\sum f d^r}{N}$, where $d = X - A = X - 4$. X f d fd fd² fd³ fd⁴ ---------------------------- 2 1 -2 -2 4 -8 16 3 3 -1 -3 3 -3 3 4 7 0 0 0 0 0 5 2 1 2 2 2 2 6 1 2 2 4 8...