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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

5.1.1 List the provinces with the number of progressed learners less than 5 000 in 2016.

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Answer

The provinces with the number of progressed learners less than 5,000 in 2016 are Northern Cape and Mpumalanga.

Step 2

5.1.2 Calculate the value of A in the table.

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Answer

To calculate the value of A, we need to sum all the progressed learners for 2015:

11705+5105+4568+10070+9051+3981+1963+4722+3589=5865611 705 + 5 105 + 4 568 + 10 070 + 9 051 + 3 981 + 1 963 + 4 722 + 3 589 = 58 656

Thus, A equals 58,656.

Step 3

5.1.3 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, arranged in ascending order, is as follows:

  • Northern Cape: 2,212
  • Free State: 2,600
  • Limpopo: 2,290
  • Mpumalanga: 2,613
  • Western Cape: 2,227
  • Gauteng: 4,632
  • KwaZulu-Natal: 4,765
  • Eastern Cape: 2,625.

Step 4

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

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Answer

To determine the median, we first list the values: 2,212, 2,290, 2,600, 2,625, 2,613, 2,227, 4,632, 4,765. Arranging them in order (in total of 8 data points), the median would be the average of the 4th and 5th values:

Median=2,613+2,6252=2,619Median = \frac{2,613 + 2,625}{2} = 2,619. Therefore, the median is 2,619.

Step 5

5.1.5 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

The number of progressed learners from the Eastern Cape is 2,625 and from the Western Cape is 2,227:

Difference=2,6252,227=398Difference = 2,625 - 2,227 = 398. The difference is 398.

Step 6

5.1.6 Calculate the mean number of the progressed learners who wrote matric in 2015.

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Answer

To calculate the mean:

Mean=Total  Progressed  Learners  (58,656)Number  of  provinces  (9)=58,65696,517.33Mean = \frac{Total \; Progressed \; Learners \; (58,656)}{Number \; of \; provinces \;(9)} = \frac{58,656}{9} \approx 6,517.33. The mean number of progressed learners who wrote matric in 2015 is approximately 6,517.

Step 7

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

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Answer

The province with the highest number of progressed learners in 2016 is KwaZulu-Natal with 22,549 learners.

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