Positively Skewed Data
Happiness
Happiness score with 20 records falls within 1.23117 to 5.96055
Mean = sum(k2:k21)/20 = 3.16051
Std = stdev.p(k2:k21) = 1.34832
Median = Median(k2:k21) = 2.84485
Mode = 3Median – 2Mean
=3*2.84485-2*3.16051 = 2.2153
Mode < Median <mean
2.21 <2.84 <3.16
So it is right-skewed distribution
Skewness = skew.p(k2:k21) = 0.8909 (positive)
You can also find out Z and then sum(Z^3)/20
You get 0.8909
Histogram
Right tail is long. Skewness is positive–> 0.8909
Negatively Skewed Data – Testing Score -GPA
Histogram
Left tail is long. Skewness is Negative–> -1.083