In South Africa, learners' marks are graded using level descriptors from level 1 (L1), lowest marks, to level 7 (L7), being the highest mark. The information below shows the November 2019 Mathematical Literacy results for learners in a particular district in South Africa. Results of Grade 10 and 11 learners according to level descriptors Use the graph above to answer the questions that follow. 5.1.1 Define the term range. 5.1.2 State whether the learner numbers represent continuous or discrete data. 5.1.3 Determine the total number of Grade 10 learners who sat for the examinations. 5.1.4 Write down the level descriptors which show that the performance of the Grade 11 learners is below the performance of the Grade 10 learners. 5.1.5 Determine the median level descriptor for the Grade 11 learners.

NSC Mathematical Literacy Representing, interpreting and analysing data: In South Africa, learners' marks

In South Africa, learners' marks are graded using level descriptors from level 1 (L1), lowest marks, to level 7 (L7), being the highest mark - NSC Mathematical Literacy - Question 5 - 2021 - Paper 1

Question 5

In-South-Africa,-learners'-marks-are-graded-using-level-descriptors-from-level-1-(L1),-lowest-marks,-to-level-7-(L7),-being-the-highest-mark-NSC Mathematical Literacy-Question 5-2021-Paper 1.png

In South Africa, learners' marks are graded using level descriptors from level 1 (L1), lowest marks, to level 7 (L7), being the highest mark. The information below s... show full transcript

Worked Solution & Example Answer:In South Africa, learners' marks are graded using level descriptors from level 1 (L1), lowest marks, to level 7 (L7), being the highest mark - NSC Mathematical Literacy - Question 5 - 2021 - Paper 1

Step 1

Define the term range.

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Answer

The term 'range' refers to the difference between the highest and lowest value in a data set. It is calculated as:

ext{Range} = ext{Maximum value} - ext{Minimum value}

Step 2

State whether the learner numbers represent continuous or discrete data.

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Answer

The learner numbers represent discrete data, as they consist of countable values (the number of learners) which cannot take on fractional values.

Step 3

Determine the total number of Grade 10 learners who sat for the examinations.

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Answer

To find the total number of Grade 10 learners, we sum the values from the graph. From the graph:

At L1: 1749
At L2: 239
At L3: 1990
At L4: 1618
At L5: 903
At L6: 429
At L7: 16

Thus, the total is:

ext{Total Grade 10 learners} = 1749 + 239 + 1990 + 1618 + 903 + 429 + 16 = 1044

Step 4

Write down the level descriptors which show that the performance of the Grade 11 learners is below the performance of the Grade 10 learners.

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Answer

The level descriptors that indicate the performance of Grade 11 learners is below that of Grade 10 learners are:

L1 (62 learners)
L2 (223 learners)
L3 (551 learners).

These levels exhibit lower learner counts for Grade 11 compared to Grade 10.

Step 5

Determine the median level descriptor for the Grade 11 learners.

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Answer

To find the median level descriptor for the Grade 11 learners, we arrange the level descriptors in order:

L1: 62
L2: 223
L3: 551
L4: 935
L5: 1317
L6: 990
L7: 16

The median is L4, as it is the middle value of the ordered set.

In South Africa, learners' marks are graded using level descriptors from level 1 (L1), lowest marks, to level 7 (L7), being the highest mark - NSC Mathematical Literacy - Question 5 - 2021 - Paper 1

Worked Solution & Example Answer:In South Africa, learners' marks are graded using level descriptors from level 1 (L1), lowest marks, to level 7 (L7), being the highest mark - NSC Mathematical Literacy - Question 5 - 2021 - Paper 1

Define the term range.

State whether the learner numbers represent continuous or discrete data.

Determine the total number of Grade 10 learners who sat for the examinations.

Write down the level descriptors which show that the performance of the Grade 11 learners is below the performance of the Grade 10 learners.

Determine the median level descriptor for the Grade 11 learners.

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