Question

In: Statistics and Probability

Are these data skewed to the left (negatively skewed) or skewed to the right (positively skewed)?...

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

Solutions

Expert Solution

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)


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