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

To calculate A, we sum the total progressed learners in 2015:

$A = 11,705 + 5,105 + 4,568 + 10,070 + 832 + 5,981 + 1,963 + 3,589$

Calculating this gives:

$A = 58,656$

The number of progressed learners who passed matric in 2015, arranged in ascending order, is:

• Free State: 2,600
• Eastern Cape: 2,625
• Western Cape: 2,240
• North West: 2,612
• Gauteng: 2,994
• Limpopo: 4,765
• KwaZulu-Natal: 4,765
• Mpumalanga: 2,613

To find the median, we first arrange the number of progressed learners who passed matric:

From the sorted list:

• Free State: 2,600
• Eastern Cape: 2,625
• North West: 2,612
• Western Cape: 2,240
• Gauteng: 2,994
• Limpopo: 4,765
• KwaZulu-Natal: 4,765
• Mpumalanga: 2,613

The median is calculated from the middle values, giving us:

$ext{Median} = \frac{(2,625 + 2,612)}{2} = 2,618.5$

Eastern Cape:

• Passed Grade 12 in 2015: 2,625 Western Cape:
• Passed Grade 12 in 2015: 2,240

Difference:

$2,625 - 2,240 = 385$. Hence, the difference is 385.

First, we calculate the total of progressed learners who wrote matric:

$ext{Total} = 11,705 + 5,105 + 4,568 + 10,070 + 832 + 5,981 + 1,963 + 3,589 = 58,656$

The mean is then found by dividing by the number of provinces (8):

$ext{Mean} = \frac{58,656}{8} \approx 7,331$

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