The following data set indicates the ages of a sample of eleven employees from company B.

29 22 37 44 55 42 47 42 32 46 53

Calculate the following, using the appropriate formulae and/or method:

[Note: ALL calculations must be shown]

Q.5.1.1

The mean. Interpret your answer.

Q.5.1.2

The median. Interpret your answer.

Q.5.1.3

The third quartile. Interpret your answer.

Q.5.1.4

The 65th percentile. Interpret your answer.

Q.5.1.5

The standard deviation.

Q.5.1.6

The coefficient of variation.

Q.5.1.7

Determine the shape of this data set using the approximation formula for skewness.

The following data set indicates the number of policies sold in the last week by a sample of thirty insurance salespeople:

18 15 25 26 37 30

35 31 29 28 22 24

32 28 21 31 39 36

28 22 23 25 18 19

32 24 34 25 28 30

Q.6.1

Construct a grouped frequency distribution table for this data set. Use the classes 15 -< 20; 20 -< 25; and so on. Your table should include the following columns (give the column total, where appropriate):

(10)

No. Of Policies Sold

Tally

No. Of Salespeople

Cumulative Less Than Frequency (F)