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
Question 5
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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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:
Use the formula below and determine the LSR for Gauteng.
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The Learner-School Ratio (LSR) for Gauteng can be calculated using the LSR formula:
LSR=Number of Schools in GautengNumber of Learners in Gauteng
Assuming there are 2,649 learners and 84 schools in Gauteng:
LSR=842,649≈31.5
Step 5
Write down the modal ratio.
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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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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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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=230.1+30.3=30.2
Step 8
Use the TSR to complete the bar graphs on the attached ANSWER SHEET.
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Collect the Teacher-School Ratios (TSR) for each province and accurately plot each ratio on the attached graph, ensuring proportions are maintained.