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. 5.1.3 State whether the learner numbers represent continuous or discrete data. 5.1.4 Determine the total number of Grade 10 learners who sat for the examinations. 5.1.5 Write down the level descriptors which show that the performance of the Grade 11 learners is below the performance of the Grade 10 learners. 5.1.6 Determine the median level descriptor for the Grade 11 learners.

NSC Mathematical Literacy Collecting 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 range is defined as the difference between the highest and lowest values in a data set. This gives an indication of how spread out the data values are.

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 are countable values that 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 need to sum the number of learners across each level descriptor from the graph. The total is calculated as follows:

$1749 + 2239 + 1618 + 903 + 429 + 150 + 16 = 10404$

Thus, the total number of Grade 10 learners who sat for the examinations is 10404.

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 the performance of the Grade 11 learners is below that of the Grade 10 learners are L6 and L7, where the number of Grade 11 learners is significantly lower compared to Grade 10 learners.

Step 5

Determine the median level descriptor for the Grade 11 learners.

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Answer

To determine the median level descriptor for Grade 11 learners, we first organize the level descriptors by the number of learners:

L1: 62
L2: 223
L3: 551
L4: 935
L5: 1357
L6: 1990

The cumulative learner count for Grade 11 is 429 across L6, L5, and L4. The median falls at L4 as it represents the middle point of the organized data.

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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