TABLE 1 in ANNEXURE B shows data relating to the import of personal care and cosmetic products in Australia for the period 2013 to 2015. Use the information in ANNEXURE B to answer the questions that follow. 2.1.1 Determine: (a) Missing value A (rounded off to a whole percentage) using the following formula: $$\% \text{change} (A) = \frac{2015 \text{ imports} - 2013 \text{ imports}}{2013 \text{ imports}} \times 100$$ (b) The median of the percentage change for the period 2013 to 2015. 2.1.2 Describe the trend in the imports of make-up and skincare products. 2.1.3 The negative value of the percentage change does not necessarily imply that the import value of the products decreased continuously over the three-year period. Name TWO different products in TABLE 1 and explain how they support the statement above. 2.1.4 State, with a reason, whether the data in TABLE 1 can be represented using a single pie chart. 2.1.5 A line graph showing the % share of 2015 imports for the first eight products in TABLE 1 has been drawn on the ANSWER SHEET. On the same graph, draw another line graph representing the percentage for the period 2013 to 2015 for the same eight products.

NSC Mathematical Literacy Perimeter, area and volume: TABLE 1 in ANNEXURE B shows data

TABLE 1 in ANNEXURE B shows data relating to the import of personal care and cosmetic products in Australia for the period 2013 to 2015 - NSC Mathematical Literacy - Question 2 - 2018 - Paper 2

Question 2

TABLE-1-in-ANNEXURE-B-shows-data-relating-to-the-import-of-personal-care-and-cosmetic-products-in-Australia-for-the-period-2013-to-2015-NSC Mathematical Literacy-Question 2-2018-Paper 2.png

TABLE 1 in ANNEXURE B shows data relating to the import of personal care and cosmetic products in Australia for the period 2013 to 2015. Use the information in ANNE... show full transcript

Worked Solution & Example Answer:TABLE 1 in ANNEXURE B shows data relating to the import of personal care and cosmetic products in Australia for the period 2013 to 2015 - NSC Mathematical Literacy - Question 2 - 2018 - Paper 2

Step 1

Determine (a) Missing value A (rounded off to a whole percentage)

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Answer

To determine the missing value A, we will use the percentage change formula. We first need to calculate:

$2015\space \text{imports} = 216329$
$2013\space \text{imports} = 227665$

Substituting the values into the formula gives:

$\text{Change} (A) = \frac{216329 - 227665}{227665} \times 100 = \frac{-11336}{227665} \times 100 \approx -4.979\%$

Rounding this to the nearest whole percentage yields:

$A \approx -5\%$

Step 2

Determine (b) The median of the percentage change for the period 2013 to 2015

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Answer

To find the median, we first calculate the percentage changes recorded for each product between 2013 and 2015. Once we have the percentage changes, we sort them in ascending order and identify the middle value. If there is an even number of values, we take the average of the two middle values. Hence, the median is calculated as:

$5\% (from calculated changes)$

Step 3

2.1.2 Describe the trend in the imports of make-up and skincare products.

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Answer

The trend in the imports of make-up and skincare products shows a fluctuating behavior over the three-year period. While some categories exhibited increases in import value, others displayed significant declines. Overall, we observe that the market for these products is dynamic, responding to consumer preferences and market conditions.

Step 4

2.1.3 Name TWO different products in TABLE 1 and explain how they support the statement above.

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Answer

The two products to consider are:

Lipstick - showed a decrease in import value in 2014 but rebounded in 2015.
Face Cream - had a consistent increase over the three-year period.

This indicates the variability in consumption patterns which does not conform to a single trend of decline or growth, supporting the statement that the import value does not decrease continuously.

Step 5

2.1.4 State, with a reason, whether the data in TABLE 1 can be represented using a single pie chart.

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Answer

The data in TABLE 1 cannot be effectively represented using a single pie chart due to the presence of negative values and the variation in the import volumes of different products. A pie chart is best suited for illustrating relative proportions of a whole, which is not applicable here.

Step 6

2.1.5 Draw a line graph representing the percentage for the period 2013 to 2015.

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Answer

A line graph should depict the percentage share of each product from 2013 to 2015. The x-axis would represent the years, while the y-axis would reflect the percentage of imports. Each product would be represented with a distinct line, making it easy to visualize fluctuations in import percentages over time.

TABLE 1 in ANNEXURE B shows data relating to the import of personal care and cosmetic products in Australia for the period 2013 to 2015 - NSC Mathematical Literacy - Question 2 - 2018 - Paper 2

Worked Solution & Example Answer:TABLE 1 in ANNEXURE B shows data relating to the import of personal care and cosmetic products in Australia for the period 2013 to 2015 - NSC Mathematical Literacy - Question 2 - 2018 - Paper 2

Determine (a) Missing value A (rounded off to a whole percentage)

Determine (b) The median of the percentage change for the period 2013 to 2015

2.1.2 Describe the trend in the imports of make-up and skincare products.

2.1.3 Name TWO different products in TABLE 1 and explain how they support the statement above.

2.1.4 State, with a reason, whether the data in TABLE 1 can be represented using a single pie chart.

2.1.5 Draw a line graph representing the percentage for the period 2013 to 2015.

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