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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

The total income for April can be calculated by summing the income from rail and road:

265+824=1,089265 + 824 = 1,089 million.

The road transportation income for April is 824824 million.

To find the percentage:

ightarrow 75.7\%$$ Thus, the road transportation income for April is approximately $75.7\%$ of the total land income.

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:

29,967+25,231=55,19829,967 + 25,231 = 55,198 thousands.

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-eight thousand three hundred sixty-seven.

Step 4

Calculate the median total income.

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Answer

To calculate the median, we need to arrange the total income values in order:

[238,264,254,265,276,251,272,257,259,206,223,198][238, 264, 254, 265, 276, 251, 272, 257, 259, 206, 223, 198] million.

The median is the average of the 6th and 7th values, which are 251251 and 257257 respectively:

ext{Median} = rac{251 + 257}{2} = 254\ 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

There are 1212 months in total. The months where rail income was less than R200 000 are:

  • January (238)
  • October (206)
  • December (198)

Thus, there are 33 months that meet the condition:

P = rac{3}{12} = 0.25

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