Question 1 (25 marks)

Conduct a market survey on the price of a product (e.g., mobile phone, running

shoe, jean, potato chips, etc.) that you are interested in. You are required to collect

at least 6 records as follows:

No. Brand Model / Description Price (S$) Source / URL

1

2

3

4

5

6

(4 marks)

Calculate

a) the mean, the median and the mode.

(5 marks)

b) the standard deviation.

(6 marks)

c) the coefficient of variation.

(3 marks)

d) the quartiles and interquartile range

(7 marks)

Page 3 of 4

Question 2 (25 marks)

a) The marketing manager wants to analyse the preference on action movie for his

customers. The following table shows a summary:

Preference

Yes No Total

Gender

Male 80 20 100

Female 30 70 100

Total 110 90 200

Find the probability that a randomly selected customer who:

i. likes action movie

ii. is male and like action movie

iii. is female or like action movie

(12 marks)

b) The salary of a sales manager is normally distributed with a mean of $3500 and

standard deviation of $420.

i. Find the probability that a randomly selected manager has a salary that is

between $3,000 and $4,200?

ii. If 20 managers are randomly selected, what is the probability that their

average salary exceeds $3,750?

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