In South Africa, learners' marks are graded using level descriptors from level 1 (L1), the lowest marks, to level 7 (L7), 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), the lowest marks, to level 7 (L7), the highest mark. The information below sho... show full transcript
Worked Solution & Example Answer:In South Africa, learners' marks are graded using level descriptors from level 1 (L1), the lowest marks, to level 7 (L7), 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 (maximum) value and the lowest (minimum) value in a data set. Thus, it can be expressed mathematically as:
Range=Maximum−Minimum
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 can only take on whole number values (i.e., you cannot have a fractional number of learners).
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 learners in each level descriptor:
Total=1499+2239+1990+1618+903+429+150=10328
Therefore, the total number of Grade 10 learners who sat for the examinations is 10328.
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 indicating that Grade 11 learners performed below Grade 10 learners are L1 and L2, as both descriptors demonstrate a higher number of learners from Grade 10 than Grade 11.
Step 5
Determine the median level descriptor for the Grade 11 learners.
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To determine the median, we first arrange the level descriptors for Grade 11 in order from lowest to highest:
L1
L2
L3
L4
L5
L6
L7
Given the distribution, the median level descriptor for Grade 11 learners is L4, which corresponds to the rank of 1618.
