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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.

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, add the following:

66ext,007+24ext,475+74ext,823+96ext,057+57ext,108+34ext,936=425ext,02366 ext{, }007 + 24 ext{, }475 + 74 ext{, }823 + 96 ext{, }057 + 57 ext{, }108 + 34 ext{, }936 = 425 ext{, }023 teachers.

Step 3

Calculate the percentage of schools found in KwaZulu-Natal.

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Answer

The percentage of schools found in KwaZulu-Natal is calculated using the formula:

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

Assuming the values from table gives the result of approximately 23.93%.

Step 4

Use the formula below and determine the LSR for Gauteng.

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Answer

Using the formula for Learner-School Ratio (LSR):

ext{LSR} = rac{ ext{Total number of learners}}{ ext{Total number of schools}}

Insert the appropriate values for Gauteng to calculate the LSR.

Step 5

Write down the modal ratio.

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Answer

The modal ratio is 30.1.

Step 6

Arrange the ratios in descending order.

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Answer

The ratios in descending order are: 31.5, 30.1, 30.0, 29.4, 28.9, 27.2.

Step 7

Determine the median ratio.

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Answer

To find the median, organize the ratios in order and calculate as follows:

extMedian=29.8 ext{Median} = 29.8

Step 8

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

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Answer

Complete the bar graphs using the Teacher-School Ratios (TSR) outlined in the given data for each province.

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