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CAA Global Entry exam of the Certified Actuarial Analyst qualification Sample Questions:

1. A set of 17 observed values is being studied.
Identify which of the following statements is/are true.
I The median must be equalto one of the observed values.
II. The mean could be different from all of the observed values.
Ill If the observations are positively skewed, then the mean is less than the median IV. More than one mode is not possible.

A) II and IV only
B) I and II only
C) III only
D) I only

2. Identify which of the following statements is correct.

A) can be greater than or less than x.
B) is equal to x.
C) is greater than x
D) is less than x

3. Identify which of the following non-terminating geometric series converge, for values of x such that 1 < x < 2.

A) I, II and IV
B) II and IV
C) I and IV
D) II, III and IV

4. Consider the function f(x)x2 6x=20. This functions has a stationary point at x=3.
Determine the nature of this stationary point and how we know this to be true.

A) It is a minimum stationary point because the second derivative of the function with respect to x takes the value 2 which is positive.
B) It is a maximum stationary point because the value of the function at x = 3 is 11, which is positive.
C) It is a minimum stationary point because the value of the function at x = 3 is 11, which is positive.
D) It is a maximum stationary point because the second derivative of the function with respect to x takes the value 2, which is positive.

5. Identify which of the following quantities can always be derived from a box plot of a data set.
I.Mean
II.Median
III. Mode
IV. Range
V.Sample size

A) II and IV only
B) I and III only
C) I and II only
D) IV and V only

Solutions: