NSC Mathematical Literacy Summarising data: The Republic of South Africa (RS

Question

The Republic of South Africa (RSA) conducts household censuses to collect information. The next census will take place in 2021.

Census information regarding household size is shown below.

HOUSEHOLD SIZE

| HOUSEHOLD SIZE | CENSUS 1996 | CENSUS 2001 | CENSUS 2011 |
|----------------|--------------|--------------|--------------|
| One            | 17%          | 15%          | 27%          |
| Two            | 16%          | 16%          | 19%          |
| Three          | 15%          | 15%          | 11%          |
| Four           | 15%          | 15%          | 10%          |
| Five or more   | 36%          | 33%          | 25%          |

Total number of households
  8.7 million
  10.8 million
  14.5 million

**Note:** A census is an official count or survey. According to Stats SA, a household consists of a single person or a group of people who live together for at least four nights a week, or who eat together and share resources.

Use the data above to answer the questions that follow.

4.1.1 Determine the percentage increase in the total number of households from 1996 to 2011.  
4.1.2 State which household size matches EACH of the following trends:  
  (a) Increased every year, but only by a small percentage  
  (b) Remained constant in every census from 1996 to 2011  
4.1.3 It was stated that the percentage of households with five or more persons decreased from 2001 to 2011; therefore, the number of households with five or more persons decreased by 0,060 million.  
Verify, showing ALL calculations, whether this statement is CORRECT.  
4.1.4 Explain why the percentages for the 1996 census do not add up to 100%.  
4.1.5 Write down the probability of randomly choosing a household from the 2011 census with a household size fewer than four persons.

**(3)**

The Republic of South Africa (RSA) conducts household censuses to collect information - NSC Mathematical Literacy - Question 4 - 2019 - Paper 2

Worked Solution & Example Answer:The Republic of South Africa (RSA) conducts household censuses to collect information - NSC Mathematical Literacy - Question 4 - 2019 - Paper 2

4.1.1 Determine the percentage increase in the total number of households from 1996 to 2011.

4.1.2 State which household size matches EACH of the following trends.

4.1.3 Verify, showing ALL calculations, whether this statement is CORRECT.

4.1.4 Explain why the percentages for the 1996 census do not add up to 100%.

4.1.5 Write down the probability of randomly choosing a household from the 2011 census with a household size fewer than four persons.

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