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 Reading information from a graph: 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

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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 (maximum) and the lowest (minimum) values in a data set. It provides an understanding of the variability within the data.

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 distinct, separate values that cannot be subdivided further.

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 number of learners across all level descriptors:

$1 749 + 2 239 + 1 990 + 1 618 + 903 + 429 + 150 + 16 = 10 904$

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 indicating that Grade 11 learners performed below Grade 10 learners include levels L6 (903 learners), L5 (429 learners), L4 (150 learners), and L3 (16 learners).

Step 5

Determine the median level descriptor for the Grade 11 learners.

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Answer

To find the median level descriptor of the Grade 11 learners, we arrange the number of learners in order:

L7: 62, L6: 223, L5: 551, L4: 935, L3: 1 357, L2: 1 990

The median level descriptor is L4, as it falls in the central range when the data is ordered.

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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