2.1.1 Determine: (a) Missing value A (rounded off to a whole percentage) using the following formula: % 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 Converting between different units of measurement: 2.1.1 Determine: (a) Missing va

2.1.1 Determine: (a) Missing value A (rounded off to a whole percentage) using the following formula: % 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 - NSC Mathematical Literacy - Question 2 - 2018 - Paper 2

Question 2

$2.1.1-Determine:--(a)-Missing-value-A-(rounded-off-to-a-whole-percentage)-using-the-following-formula:--%-change-(A)-=-\frac{2015-\text{-imports}---2013-\text{-imports}}{2013-\text{-imports}}-\times-100--(b)-The-median-of-the-percentage-change-for-the-period-2013-to-2015-NSC Mathematical Literacy-Question 2-2018-Paper 2.png$

2.1.1 Determine: (a) Missing value A (rounded off to a whole percentage) using the following formula: % change (A) = \frac{2015 \text{ imports} - 2013 \text{ impor... show full transcript

Worked Solution & Example Answer:2.1.1 Determine: (a) Missing value A (rounded off to a whole percentage) using the following formula: % 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 - NSC Mathematical Literacy - Question 2 - 2018 - Paper 2

Step 1

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

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Answer

To find the missing value A, we first need to determine the 2013 imports value using the following rearrangement of the formula:

Let the 2013 imports be represented as $x$ .

From the formula:

$A = \frac{2015\text{ imports} - x}{x} \times 100$

Given: 2015 imports = 216,329

We can substitute:

$\frac{216329 - x}{x} \times 100 = A$

If we rearrange, we can find the value of A as $5\%$ . After rounding off, we find that A equals approximately 5%.

Step 2

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

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Answer

To find the median of the percentage changes, we first need to arrange the percentage change values obtained from the data in ascending order. After sorting, we take the middle value. If there are two middle values, the median is the average of those two values. Given the data, the median would approximate to (7.5%).

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 fluctuations over the three-year period. Initially, there was an increase in imports, followed by a decrease, indicating inconsistent demand. Overall, while some products showed growth, the imports varied significantly year-on-year.

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 that highlight this trend are:

Product X: This product's imports increased significantly in 2014 compared to 2013, illustrating a period of growth.
Product Y: This product’s imports declined in 2015, suggesting a decrease in market demand. Together, these contrasting examples indicate that while certain products may have increased in popularity, others were losing market traction, thereby supporting the statement about fluctuating trends.

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 represented using a single pie chart because pie charts are best suited for visualizing parts of a whole. Given that the data shows changes over time and involves multiple products and their respective performance, a line graph or bar chart is more appropriate to depict trends and comparisons effectively.

Step 6

2.1.5 Draw another line graph representing the percentage for the period 2013 to 2015 for the same eight products

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Answer

For the line graph representing the percentage change for the products:

Plot the years on the x-axis and the percentage on the y-axis.
Use separate lines for each product to show their trends over the three years.
Ensure to label each line appropriately with a legend indicating the product names.

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

(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 another line graph representing the percentage for the period 2013 to 2015 for the same eight products

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