5.1 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

Add the total number of teachers from all provinces listed in TABLE 3. The total number of teachers in South Africa for 2013 is 425,023.

Use the formula:

$ext{Percentage of schools} = \left(\frac{\text{Number of schools in KwaZulu-Natal}}{\text{Total number of schools}}\right) \times 100$

If KwaZulu-Natal has 30 schools and the total number of schools is 1250, the percentage is:

$\left(\frac{30}{1250}\right) \times 100 \approx 2.4\%$

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

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

Assuming there are 1,000,000 learners and 500 schools, the LSR is:

$\frac{1,000,000}{500} = 2000$

The modal ratio can be determined by identifying the most frequently occurring learner-teacher ratio among the provinces listed. For this example, let's assume the modal ratio is 30.

Arrange the ratios from highest to lowest. For example, if the ratios are:

• 35
• 30
• 25
• 20

The descending order will be:

• 35
• 30
• 25
• 20

To find the median, arrange all the ratios in numerical order and select the middle value. If there are an even number of ratios, calculate the average of the two middle values.

From the tree diagram, if 10% of learners arrive late when there is no rain, then the answer would be:

$10\%$

Using the probabilities from the tree diagram, ascertain the missing values:

(a) Probability of late (not rain): 20% (b) Probability of not late (rain): 7.5%

Using the tree diagram probabilities, calculate:

$\frac{5}{100}$

If 25% chance of rain implies 100 learners will be late, then the remaining:

$1562 - 100 = 1462$ learners will not be late.