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 find the value of A, we sum the total number of progressed learners who passed matric in 2015:

$A = 2 625 + 2 600 + 2 432 + 4 765 + 2 290 + 2 613 + 2 107$

Calculating this gives:

$A = 19 783$

The sorted values of progressed learners who passed matric in 2015 are:

• 2 107 (Western Cape)
• 2 290 (Limpopo)
• 2 432 (Gauteng)
• 2 613 (Mpumalanga)
• 2 625 (Eastern Cape)
• 2 600 (Free State)
• 4 765 (KwaZulu-Natal)

To find the median, we arrange the values:

The ordered list:

• 2 107, 2 290, 2 432, 2 600, 2 625, 2 613, 4 765

Since there is an odd number of entries (7), the median is the middle number:

$ext{Median} = 2 600$

The difference is calculated as follows:

$ext{Difference} = ext{Eastern Cape} - ext{Western Cape} = 2 625 - 2 107$

Calculating gives:

$ext{Difference} = 518$

To find the mean, we total the number of progressed learners who wrote matric in 2015:

$ext{Total} = 11 705 + 5 105 + 4 568 + 10 070 + 9 291 + 5 901 + 1 963 + 3 589$

Calculating this gives:

$ext{Total} = 51 105$

The mean is:

The province with the highest number of progressed learners in 2016 is KwaZulu-Natal with 24 549 learners.