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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

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

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Answer

A broken line graph or a bar graph could be used to represent the data alongside the existing graphical representation.

Step 2

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

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Answer

The maximum number of candidates who were admitted is the sum of the candidates for Mathematics and Mathematical Literacy, which is calculated as follows:

extTotal=287,453+389,615=677,068 ext{Total} = 287,453 + 389,615 = 677,068

Step 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 can be expressed as the ratio of the number of candidates who took Mathematics or Mathematical Literacy to the total number of candidates. If 100% represents all candidates, then:

P( ext{Math or Mathematical Literacy}) = rac{ ext{Number of candidates taking the subject}}{ ext{Total candidates admitted}} = rac{100 ext{ extbackslash%}}{1}

Step 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 that showed a decrease include:

  1. Accounting
  2. Business Studies
  3. Economics
  4. Mathematical Literacy

Step 5

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

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Answer

Mathematics showed the greatest increase in the number of candidates admitted in 2016.

Step 6

Explain why this is called categorical data.

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Answer

Categorical data is data that can be divided into groups or categories. In this case, subjects are categories and the numbers represent the count of candidates within those categories.

Step 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 had between 223,000 and 274,000 candidates in 2016 is identified as Business Studies.

Step 8

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

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Answer

An example of an 'Other' type of expenditure is copyright payments or advertising costs.

Step 9

What percentage of income comes from donations?

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Answer

Donations constitute approximately 17.6% of total income, calculated as:

ext{Percentage} = rac{R3.78}{R63} imes 100 = 17.6 ext{ extbackslash%}

Step 10

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

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Answer

The interest amount is calculated by multiplying the total expenditure by the interest rate:

extInterest=R541,000,000imes0.007=R378,700 ext{Interest} = R541,000,000 imes 0.007 = R378,700

Step 11

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

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117 rated

Answer

The difference can be calculated as:

extDifference=extIncomeextExpenditure=R63,000,000R54,410,000=R8,590,000 ext{Difference} = ext{Income} - ext{Expenditure} = R63,000,000 - R54,410,000 = R8,590,000

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