Question 1 [10]
Read and match the term that best fits the statement.
COLUMN X COLUMN Y
1.1.1) A measure that describes a characteristic of a population. a) data enrichment
1.1.2) The actual values recorded on a random variable. b) skewness
1.1.3) The transformation of data into more meaningful measures. c) range
1.1.4) The measure of how symmetrical a dataset is. d) data
1.1.5) The difference between the minimum and maximum values. e) parameter
(5)
1.2 Determine the measurement scale (nominal, ordinal, interval, ratio) for the phrase.
Phrase Scale
1.2.1) The weakest form of data with regard to statistical analysis. a
1.2.2) The area of a shop floor. b.
1.2.3) The credit score of a potential investor. c.
1.2.4) Milkshake size (small, regular, large) d.
1.2.5) The voltage produced by a generator. e.
(5)
Question 2 [15]
The following table indicates the unit prices (in Rands) and quantities of three goods consumed every month by a household for the years 2014 and 2017.
2014 2017
Price (p0) Quantity (q0) Price (p1) Quantity (q1)
Rosemary 12.85 278 14.31 275
Thyme 11.92 301 11.50 304
Basil 12.56 294 13.13 299
2.2) Compute the price relatives for rosemary and thyme and interpret your answer.
(6)
2.3) Calculate the Paasche Price Index for all items for 2017. Interpret your answer.
(4)
2.4) Calculate Laspeyre’s Quantity Index for all items for 2017. Interpret your answer.
(5)
Question 3 [20]
The following represents the marks of an entrance exam test to study an LLB at a certain University.
54 68 72 60 88 91 95 76 83 72
3.1) Calculate the mean and interpret your answer. (3)
3.2) Find the third quartile and interpret your answer. (3)
3.3) Determine the 18th percentile and interpret your answer. (3)
3.4) Calculate the standard deviation. (7)
3.5) Find the skewness and interpret your answer. (4)
[Question 4 [5]
The following data set indicates the number of clients per day who visited a local barber over a random sample of 20 days:
15 23 18 20 26
24 12 22 27 21
20 29 25 22 24
19 21 28 21 25
Construct a grouped frequency table for this data set. Your table should include columns indicating the frequency count values (f) and the percentage frequencies (%f) for each class. Use the classes 10 -<15; 15 -<20, and so on.
