Consider the data in the table below which was collected from a random sample of 20 vendors at
a local open market during the first week after the lockdown period:
Vendor Type of service Gender Number of years in operation Daily income (N$)
1 Food & Drinks Male > 5 years 1555
2 Food & Drinks Male < 1 year 806
3 Food & Drinks Female Between 1 and 5 years 1150
4 Food & Drinks Female Between 1 and 5 years 1350
5 Food & Drinks Female > 5 years 1790
6 Food & Drinks Female Between 1 and 5 years 1660
7 Food & Drinks Male < 1 year 505
8 Food & Drinks Female > 5 years 1950
9 Clothing Male Between 1 and 5 years 2440
10 Clothing Male > 5 years 1811
11 Clothing Female Between 1 and 5 years 1904
12 Clothing Female > 5 years 2209
13 Clothing Female < 1 year 1600
14 Clothing Female > 5 years 2010
15 Clothing Female Between 1 and 5 years 2301
16 Electronics Male Between 1 and 5 years 299
17 Electronics Male < 1 year 549
18 Electronics Male > 5 years 662
19 Electronics Male Between 1 and 5 years 1444
20 Electronics Female < 1 year 755Page 11 of 14
Required:
a) Are the data time series or cross-sectional? Motivate. (2)
b) Indicate the data type for each of the random variables. (4)
c) Indicate the data measurement scale for each of the random variables. (4)
d) Construct an appropriate tabular representation/summary of the random variable Number
of years in operation and provide an interpretation. (5)
e) Construct a cross-tabulation of the data on Daily Income and Type of service and provide
an interpretation. Hint: Use a class width of N$ 500 for Daily Income. (10)
f) Calculate and interpret relative measures of variability for the Daily Income for each of
the three categories of Type of service.
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