Identify which of the following statements are true.
I. Skewness measures how peaked a set of data is.
II. Skewness is a measure of asymmetry of the distribution of the data about its mean.
III. For a symmetrically distributed data, the mean equals the median but not necessarily the mode.
IV. The value of a measure of skewness can be positive, zero or negative.
For random variable X, use the following statistics to calculate its coefficient of skewness based on central moments.
E(X) = 3.940
E(X2) = 21.466
skew(X) = E[(X - μ)3] = 6.008