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In April 2015 the acting head of Eskom suggested that to improve its financial situation, Eskom should supply electricity directly to all customers - NSC Mathematical Literacy - Question 5 - 2016 - Paper 1

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In April 2015 the acting head of Eskom suggested that to improve its financial situation, Eskom should supply electricity directly to all customers. If this happened... show full transcript

Worked Solution & Example Answer:In April 2015 the acting head of Eskom suggested that to improve its financial situation, Eskom should supply electricity directly to all customers - NSC Mathematical Literacy - Question 5 - 2016 - Paper 1

Step 1

Arrange, in descending order, the average percentage incomes for 2015.

96%

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Answer

To arrange the average percentage incomes for 2015 in descending order, we list them as follows:

  1. Western Cape (31.1%)
  2. KwaZulu-Natal (31.1%)
  3. Gauteng (30.2%)
  4. Mpumalanga (26.4%)
  5. Free State (24.6%)
  6. North West (24.0%)
  7. Limpopo (21.3%)
  8. Eastern Cape (20.6%)
  9. Northern Cape (19.5%)

Step 2

List ALL the provinces where the municipalities have an average percentage income greater than the mean percentage income for all the provinces during 2015.

99%

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Answer

First, we calculate the mean percentage income for 2015:

ext{Mean} = rac{20.6 + 24.6 + 30.2 + 31.1 + 21.3 + 26.4 + 24.0 + 19.5 + 31.1}{9} = 25.34\%

The provinces with an average percentage income greater than the mean of 25.34% are:

  • KwaZulu-Natal (31.1%)
  • Western Cape (31.1%)
  • Gauteng (30.2%)

Step 3

Use the information in TABLE 2 to complete the bar graph on the grid provided on the ANSWER SHEET.

96%

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Answer

To complete the bar graph, plot the average percentage income for each province according to the values provided in the table for 2015.

Step 4

Determine the probability (as a percentage) of randomly choosing a municipality whose average percentage income for 2014 is not more than 35%.

98%

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Answer

First, identify the municipalities with an average percentage income for 2014 that is not more than 35%:

  • Eastern Cape (34.0%)
  • Free State (38.3%)
  • Gauteng (29.4%)
  • KwaZulu-Natal (37.5%)
  • Limpopo (20.6%)
  • Mpumalanga (34.0%)
  • North West (38.7%)
  • Northern Cape (19.5%)
  • Western Cape (44.8%)

The relevant provinces are:

  • Eastern Cape
  • Gauteng
  • Limpopo
  • Mpumalanga
  • Northern Cape

There are 5 municipalities out of 9 total:

P = rac{5}{9} \times 100 = 55.56\%

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