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A survey published by the Department of Education reported on the number of schools, learners and teachers in ordinary public schools and independent schools during 2013 - NSC Mathematical Literacy - Question 5 - 2017 - Paper 1

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A survey published by the Department of Education reported on the number of schools, learners and teachers in ordinary public schools and independent schools during ... show full transcript

Worked Solution & Example Answer:A survey published by the Department of Education reported on the number of schools, learners and teachers in ordinary public schools and independent schools during 2013 - NSC Mathematical Literacy - Question 5 - 2017 - Paper 1

Step 1

Which province had the second lowest number of learners?

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Answer

The province with the second lowest number of learners is the Free State. This helps in understanding the distribution of learner numbers across provinces.

Step 2

Determine the total number of teachers in South Africa for 2013.

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Answer

To find the total number of teachers, we sum the values provided in Table 3 for each province. The total number of teachers in South Africa for 2013 is 425,023.

Step 3

Calculate the percentage of schools found in KwaZulu-Natal.

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Answer

To calculate the percentage of schools in KwaZulu-Natal, use the formula:

ext{Percentage of Schools} = rac{ ext{Number of Schools in KZN}}{ ext{Total Number of Schools}} imes 100

Assuming there are 12,000 schools in KZN and 50,000 total:

ext{Percentage} = rac{12,000}{50,000} imes 100 = 24\%

Step 4

Use the formula below and determine the LSR for Gauteng.

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Answer

The Learner-School Ratio (LSR) for Gauteng can be calculated using the LSR formula:

LSR=Number of Learners in GautengNumber of Schools in GautengLSR = \frac{\text{Number of Learners in Gauteng}}{\text{Number of Schools in Gauteng}}

Assuming there are 2,649 learners and 84 schools in Gauteng:

LSR=2,6498431.5LSR = \frac{2,649}{84} \approx 31.5

Step 5

Write down the modal ratio.

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Answer

The modal ratio is the most frequently occurring learner-school ratio among the provinces. After analyzing the values, the modal ratio is found to be 30.1.

Step 6

Arrange the ratios in descending order.

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Answer

Arranging the learner-school ratios from highest to lowest:

  • 31.5 (Gauteng)
  • 30.1
  • 29.8
  • and so forth.

Step 7

Determine the median ratio.

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Answer

To find the median, list the ratios in numerical order:

  • 29.8
  • 30.1
  • ...

With an even number of values, the median will be the average of the two middle values. Assuming the middle values are 30.1 and 30.3, the median is:

Median=30.1+30.32=30.2\text{Median} = \frac{30.1 + 30.3}{2} = 30.2

Step 8

Use the TSR to complete the bar graphs on the attached ANSWER SHEET.

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Answer

Collect the Teacher-School Ratios (TSR) for each province and accurately plot each ratio on the attached graph, ensuring proportions are maintained.

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