1A dataset contains the salaries of employees: R70,000, R72,000, R74,000, R75,000, R82,000, R85,000, R85,000, R86,000, R88,000, R92,000, R101,000, and R242,000. Why is the median considered a more appropriate measure of central tendency than the arithmetic mean for this specific dataset?
2Calculate the angle for the 'Car' transport sector in a pie chart representing 24 students, where 7 students use a car.
3If a random variable X is transformed into a new variable Z such that every value of X is multiplied by a constant k (Z = kX), how are the mean and standard deviation of Z affected?
4A population has a mean of 1440 and a standard deviation of 15. For a random sample of 144 items, what is the standard deviation of the sample mean (standard error)?
5Which of the following are characteristics of the Laspeyres Price Index?
6In the context of time series data, which of the following would be classified as an 'Irregular Component'?
7Calculate the Z-score for a value of 42 in a normal distribution with a mean of 40 and a variance of 25.
8Which sampling methods ensure that every member of the population has an equal, non-zero chance of being selected?
9If the 'Coefficient of Variation' (CV) for a set of data is calculated as 10.5%, and the mean is 60.5, what is the approximate standard deviation used in the calculation?
10In a regression analysis where the independent variable (salary) ranges from R6,500 to R72,000, why is a prediction for a salary of R100,000 considered less reliable?
