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TABLE 5 below shows the number of learners who were condoned to Grade 12 (made to progress to Grade 12) - NSC Mathematical Literacy - Question 5 - 2017 - Paper 1

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TABLE 5 below shows the number of learners who were condoned to Grade 12 (made to progress to Grade 12). Study the table and answer the questions that follow. TABLE... show full transcript

Worked Solution & Example Answer:TABLE 5 below shows the number of learners who were condoned to Grade 12 (made to progress to Grade 12) - NSC Mathematical Literacy - Question 5 - 2017 - Paper 1

Step 1

List the provinces with the number of progressed learners less than 500 in 2016.

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Answer

In the given data, only North Cape has not had its values filled for progressed learners in 2016, so we cannot confirm if it has less than 500 progressed learners. Other provinces are not shown as having less than 500, so we cannot list any provinces for this part.

Step 2

Calculate the value of A in the table.

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Answer

To calculate A, we need to find the total number of progressed learners who wrote matric in 2015. Summing the known values:

11705+5105+4568+10070+3991+3589=3802811 705 + 5 105 + 4 568 + 10 070 + 3 991 + 3 589 = 38 028

The total for A adds up to 38 028.

Step 3

Arrange the number of progressed learners who passed matric in 2015 in ascending order.

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Answer

The number of progressed learners who passed matric in 2015 are:

  • Free State: 2 600
  • Gauteng: 2 492
  • North West: 2 613
  • Eastern Cape: 2 625
  • Western Cape: 2 602
  • KwaZulu-Natal: 4 765
  • Limpopo: not available

Arranging in ascending order: 2 492, 2 600, 2 602, 2 613, 2 625, 4 765.

Step 4

Determine the median of progressed learners who passed matric in 2015.

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Answer

To find the median, sort the number of learners who passed in ascending order:

  • 2 492
  • 2 600
  • 2 602
  • 2 613
  • 2 625
  • 4 765

With 6 total values, the median is the average of the 3rd (2 602) and 4th (2 613) values:

ext{Median} = rac{2 602 + 2 613}{2} = 2 607.5

Step 5

Calculate the difference between the progressed learners who passed Grade 12 in 2015 from the Eastern Cape and Western Cape.

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Answer

In 2015, the Eastern Cape had 2 625 progressed learners who passed matric, while the Western Cape had 2 602.

The difference is:

26252602=232 625 - 2 602 = 23

Step 6

Calculate the mean number of the progressed learners who wrote matric in 2015. Give your answer to the nearest whole number.

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Answer

The mean is calculated by dividing the total number of progressed learners who wrote matric in 2015 by the number of provinces with values. Using A from above,

ightarrow 6 338$$ where we round it to the nearest whole number.

Step 7

Identify the province with the highest number of progressed learners in 2016.

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Answer

Based on the provided data, it is impossible to determine as the values for learners currently in matric in 2016 are not provided for all provinces. However, we could see that provinces which have higher totals in 2015 are likely to continue to have higher values.

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