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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

5.1.1 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.

Step 2

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

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Answer

To find the total number of teachers, sum all the teachers across the provinces:

66007+24475+74823+96057+57108+34936+8972+26194+36451=42502366 007 + 24 475 + 74 823 + 96 057 + 57 108 + 34 936 + 8 972 + 26 194 + 36 451 = 425 023

Thus, the total number of teachers in South Africa for 2013 is 425,023.

Step 3

5.1.3 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:

Percentage of schools=(Number of schools in KZNTotal number of schools)×100\text{Percentage of schools} = \left(\frac{\text{Number of schools in KZN}}{\text{Total number of schools}}\right) \times 100

Assuming the number of schools in KZN and the total is known, replace the values and calculate.

Step 4

5.1.4 Use the formula below and determine the LSR for Gauteng.

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Answer

Using the provided formula:

LSR=Total number of learners in GautengTotal number of schools in Gauteng\text{LSR} = \frac{\text{Total number of learners in Gauteng}}{\text{Total number of schools in Gauteng}}

Replace the numbers from table 3 to find LSR.

Step 5

5.1.5 Use the provincial LTR to answer the following:

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Answer

For the modal ratio:

(a) The modal ratio is the most frequently occurring ratio among the provinces.

(b) To arrange the ratios in descending order, sort them from highest to lowest value.

(c) The median ratio can be found by listing the ratios in order and finding the middle value.

Step 6

5.1.6 Use the TSR to complete the bar graph on the attached ANSWER SHEET.

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Answer

Utilize the provided Teacher-School Ratios (TSR) to accurately draw the bars representing each province's ratio on the bar graph.

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