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Statistics South Africa (STATSSA) collects and releases data based on passenger transport annually - NSC Mathematical Literacy - Question 5 - 2018 - Paper 1

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Statistics South Africa (STATSSA) collects and releases data based on passenger transport annually. TABLE 2 below shows the 2016 data for land passenger transportati... show full transcript

Worked Solution & Example Answer:Statistics South Africa (STATSSA) collects and releases data based on passenger transport annually - NSC Mathematical Literacy - Question 5 - 2018 - Paper 1

Step 1

Calculate the road transportation income for April as a percentage of the total land income.

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Answer

For April, the income for road transportation is R661 million, and the total land income is the sum of all income for rail and road (TTL = 987 million). To find the percentage, use the formula:

extPercentage=(Road Income in AprilTotal Land Income)×100 ext{Percentage} = \left( \frac{\text{Road Income in April}}{\text{Total Land Income}} \right) \times 100

Substituting the values:

extPercentage=(661987)×100≈66.8% ext{Percentage} = \left( \frac{661}{987} \right) \times 100 \approx 66.8\%.

Step 2

Write down the total number of land passenger journeys for December.

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Answer

The total number of land passenger journeys for December is 59 934 thousand.

Step 3

Write down (in words) the total number of passenger journeys for September.

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Answer

The total number of passenger journeys for September is sixty one thousand one hundred and sixty two.

Step 4

Calculate the median total income.

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Answer

To find the median total income, first list the total income values in ascending order: {198, 226, 230, 238, 254, 261, 264, 267, 259, 274, 275, 198}. Since there are 12 months, the median will be the average of the 6th and 7th values:

extMedian=(238+254)2=246 million ext{Median} = \frac{(238 + 254)}{2} = 246 \text{ million}.

Step 5

Write down the probability, as a decimal, of randomly selecting a month when the rail income for passenger transport was less than R200 000.

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Answer

The number of months where the rail income was less than R200 000 is 2 (January and December). The total number of months is 12. The probability is calculated as:

P=212=0.1667P = \frac{2}{12} = 0.1667.

Step 6

A bar graph showing the monthly income for rail transport for the last six months of the year.

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Answer

Plot a bar graph where the x-axis represents the months (Jul, Aug, Sep, Oct, Nov, Dec) and the y-axis represents the income values. The income values for rail transport for these months are: {261, 249, 259, 267, 230, 198}. Draw the bars according to these values.

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