In: Statistics and Probability
Are these data skewed to the left (negatively skewed) or skewed to the right (positively skewed)? 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 9, 1850
OR By using R command
X=c(1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 9, 1850)
M=mean(X)
Med=median(X)
Sk=sum((X-M)^3)/((length(X)-1)*sd(X)^3)
Sk
[1] 3.207053
# Here Sk>0 therefore data is skewed to right(Positively
skewed)
a=3*(M-Med)/sd(X) # karlpearson measure of skewness
a
[1] 0.8031805
# Here a>0 therefore data is skewed to right(Positively
skewed)