Question 1:

(a) Consider the following data, what data type (i.e, Numeric continuous, Numeric discrete, Categorical ordinal or Categorical nominal) are they?

(i) Education level of employees (primary, high school, university)

(ii) Occupation of the husband in a household (police officer, nurse, civil servant, business person, others)

(iii) The number of heads in 100 coin flips

Question 2:

(a) A set of cereal sodium content measurements is as follows: 0, 340, 70, 140, 200, 180, 210, 150, 100, 130, 140, 180, 190, 160, 290, 50, 220, 180, 200, 210.

(i) Calculate the sample mean.

(ii) Calculate the sample deviation.

(b) The Q1, Q2 and Q3 values of this data set are 135, 180 and 205 respectively.

(i) Calculate the end-points of the whiskers in the Box Plot.

(ii) Does this data set have any outlier? Give reason.

Question 3:

MultiAngle is a NSW-based indigenous business specialised in providing tailor-made travel insurance. The CEO is assessing MultiAngle's investment in three platforms where its advertisement runs: social media, TV and radio. The following table shows the descriptive statistics of profit per month (dollars in thousands) generated from Social Media, TV and radio advertisement, based on 12 monthly profit figures in a randomly chosen year.

Platform Mean Variance

Social Media 12.17 46.27

TV 13.6 10.24

Radio 5.3 0.81

(i) Calculate the coefficient of variation for each platform.

(ii) Relative to each platform's mean return achieved, which option generates the greatest volatility in profit?