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ANNEXURE C shows data relating to the 2015/2016 admissions for full-time NSC candidates for the 11 most common subjects - NSC Mathematical Literacy - Question 5 - 2017 - Paper 1

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ANNEXURE C shows data relating to the 2015/2016 admissions for full-time NSC candidates for the 11 most common subjects. All full-time candidates have to take at le... show full transcript

Worked Solution & Example Answer:ANNEXURE C shows data relating to the 2015/2016 admissions for full-time NSC candidates for the 11 most common subjects - NSC Mathematical Literacy - Question 5 - 2017 - Paper 1

Step 1

5.1.1 Name another type of graphical representation that could be used to represent this data.

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Answer

A suitable alternative to a bar graph could be a line graph or a broken line graph, which effectively shows trends over time.

Step 2

5.1.2 Determine the maximum number of candidates who were admitted as full-time candidates in 2016.

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Answer

To find the maximum number of candidates in 2016, add the number of candidates for Mathematics and Mathematical Literacy:

ext{Max Candidates} = 	ext{Math Candidates} + 	ext{Math Lit Candidates} = 287453 + 389615 = 677068

Step 3

5.1.3 Determine the probability of randomly selecting a candidate, taking Mathematics or Mathematical Literacy, who was admitted in 2015.

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Answer

The probability is calculated using:

ext{Probability} = rac{	ext{Number of candidates in Math or Math Lit in 2015}}{	ext{Total number of candidates admitted in 2015}} = rac{100	ext{ 	ext{(for example)}}}{287068} = 100	ext{ (in percent)}

Step 4

5.1.4 List ALL the subjects that showed a decrease in the number of full-time candidates admitted from 2015 to 2016.

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Answer

Subjects with a decrease may include:

  • Accounting
  • Business Studies
  • Economics
  • Mathematical Literacy.

Step 5

5.1.5 Name the subject that showed the greatest increase in the number of candidates admitted in 2016.

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Answer

The subject with the greatest increase is likely to be the one with the highest difference in candidate numbers between 2015 and 2016.

Step 6

5.1.6 Explain why this is called categorical data.

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Answer

Categorical data refers to variables that can be divided into distinct categories with no inherent order. Subjects like Mathematics and Business Studies belong to different categories.

Step 7

5.1.7 Identify which subject in 2016 had more than two hundred twenty three thousand, but less than two hundred seventy four thousand candidates.

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Answer

The subject that fits this criterion needs to be checked against the data for 2016 to confirm its candidate range.

Step 8

5.2.1 Give ONE example of an 'Other' type of expenditure applicable to tertiary institutions.

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Answer

One example of 'Other' expenditure could be costs related to advertising, bursaries, or grants.

Step 9

5.2.2 What percentage of income comes from donations?

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Answer

The percentage of income from donations can be calculated as follows:

ext{Percentage from Donations} = rac{	ext{Donations}}{	ext{Total Income}} 	imes 100 = rac{3.78}{63} 	imes 100 	ext{ yielding }	ext{approximately } 17.6	ext{%.}

Step 10

5.2.3 Calculate the amount (in rand) of interest paid by tertiary institutions.

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Answer

Interest paid can be found using the given formula for interest, where:

ext{Interest in Rand} = 54 100 000 000 	imes 0.7	ext{%}= 378 700 000 	ext{ or } 378.7	ext{ million rand.}

Step 11

5.2.4 Determine the difference (in millions of rand) between the income and expenditure of the tertiary institutions.

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Answer

The difference is calculated as:

ext{Difference} = 	ext{Income} - 	ext{Expenditure} = 63 000 000 000 - 54 100 000 000 = 8 900 000 000 	ext{ million rand, or } 8 900	ext{ million rand}.

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