Question

Find the skewness coefficient of the series below. Aşağıdaki serinin çarpıklık katsayısını bulunuz. 357 9 11 15 21 22 14 - A) 0.23 B) 10.00 C) 2,30 D 11.63 E711 + Önceki Sonraki →

Answer 1

The Coefficient of skewness is given by

$\beta={\bar{x}- \tilde{x} \over s}$

Where,

$\bar{x}=\text{ Mean}= {3 +5 +7+ 9 +11+ 15+ 21+ 22 \over 8 } =11.625$

$\tilde{x}=\text{ Median}= { 9 +11 \over 2 } =10$ central value

and

${s=\text{sample standard deviation}= {(3-11.625)^2 +(5-11.625)^2 +\cdots+ (22-11.625)^2\over 8 -1} \approx 7.11 }$

Hence the coefficient of skewness is equal to

$\beta={11.625-10 \over 7.11}\approx 0.23$

Option A) is correct