DEPARTMENT OF WATER AND SANITATION, SOUTH AFRICA Assume you are working for the Department of Water and Sanitation in South Africa, as a Statistician and the Minister of Water and Sanitation has provided you with the following TWO (2) tasks from the two different sections in preparation for the National Address to be held on the 30th of December 2020 where the interpretation is going to be done in the presence of all the Ministers. Complete all the tasks by providing the relevant solutions [Show all your workings]. TASK A WATER REQUIREMENTS IN CAPE TOWN - ONE The capacities (in millions of litres) of each of the FOUR (4) major storage dams that supply the water requirements of Cape Town are shown in Table 1.1 below; Storage Dam Capacity (ML) Wemmershoek 158 644 Steenbras 95 284 Voelvlei 244 122 Theewatersloof 440 255 1.1 Construct a pie chart showing the percentage of water supplied by each storage dam and write a report about water requirements in Cape Town. 1.1.1 What percentage of Cape Town’s water supply is provided by: 1.1.1.1 Voelvlei dam? 1.1.1.2 Wemmershoek and Steenbras dams together? 1.2 Explain the term ‘trend’ as used in Time Series Analysis and Forecasting and how this could be used to the benefit of the Department of Water and Sanitation, in South Africa. TASK B SAMPLE OF METRE RECORDINGS ERRORS IN CAPE TOWN – TWO The number of recording errors in a set of 10 residential properties is given below. 37 31 48 56 33 59 65 70 79 84 2.1 Group the data for metre recording errors into a frequency distribution with a lowest class lower limit of 30 recording errors and class width of 10 recording errors. 2.2 Using the raw data for the sample of metre recording errors in Cape Town determine the range. 2.3 Determine the mean from the raw data for sample of metre recording errors in Cape Town.
DEPARTMENT OF WATER AND SANITATION, SOUTH AFRICA
Assume you are working for the Department of Water and Sanitation in South Africa, as a Statistician and the Minister of Water and Sanitation has provided you with the following TWO (2) tasks from the two different sections in preparation for the National Address to be held on the 30th of December 2020 where the interpretation is going to be done in the presence of all the Ministers. Complete all the tasks by providing the relevant solutions [Show all your workings].
TASK A WATER REQUIREMENTS IN CAPE TOWN - ONE
The capacities (in millions of litres) of each of the FOUR (4) major storage dams that supply
the water requirements of Cape Town are shown in Table 1.1 below;
|
Storage Dam |
Capacity (ML) |
|
Wemmershoek |
158 644 |
|
Steenbras |
95 284 |
|
Voelvlei |
244 122 |
|
Theewatersloof |
440 255 |
1.1 Construct a pie chart showing the percentage of water supplied by each storage dam and write a report about water requirements in Cape Town.
1.1.1 What percentage of Cape Town’s water supply is provided by:
1.1.1.1 Voelvlei dam?
1.1.1.2 Wemmershoek and Steenbras dams together?
1.2 Explain the term ‘trend’ as used in Time Series Analysis and Forecasting and how this could be used to the benefit of the Department of Water and Sanitation, in South Africa.
TASK B SAMPLE OF METRE RECORDINGS ERRORS IN CAPE TOWN – TWO
The number of recording errors in a set of 10 residential properties is given below.
37 31 48 56 33 59 65 70 79 84
2.1 Group the data for metre recording errors into a frequency distribution with a lowest class lower limit of 30 recording errors and class width of 10 recording errors.
2.2 Using the raw data for the sample of metre recording errors in Cape Town determine the
2.3 Determine the mean from the raw data for sample of metre recording errors in Cape Town.
2.4 Construct an OGIVE curve corresponding to the data for the sample of metre recording errors in Cape Town.
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