IFoA_CAA_M0 Exam Dumps : Module 0 - Entry Exam

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

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.

The stem and leaf chart below shows the ages of all the pensioners in a small village.

Identify which of the following is not true.