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. 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. In the context of the graph provided, it reflects the span of learners across the various level descriptors.
Step 2
State whether the learner numbers represent continuous or discrete data.
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The learner numbers are considered discrete data since they represent distinct counts of learners 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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To find the total number of Grade 10 learners, we sum the learners across the level descriptors: 1749 + 2239 + 1618 + 903 + 429 + 150 + 16 = 10,904 learners.
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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The level descriptors where the Grade 11 learners performed below the Grade 10 learners are L5 and L6, as indicated by the lower number of Grade 11 learners compared to Grade 10 learners in those categories.
Step 5
Determine the median level descriptor for the Grade 11 learners.
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To find the median level descriptor for the Grade 11 learners, we arrange the number of learners in ascending order. The medians are found at L2 (62), L3 (551), and L4 (935), giving a median of L3 for Grade 11 learners.
