The box and whisker diagram below shows the marks (out of 80) obtained in a History test by a class of nine learners - NSC Mathematics - Question 1 - 2016 - Paper 2
Question 1
The box and whisker diagram below shows the marks (out of 80) obtained in a History test by a class of nine learners.
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1.1 Comment on the skewness of the data.
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Worked Solution & Example Answer:The box and whisker diagram below shows the marks (out of 80) obtained in a History test by a class of nine learners - NSC Mathematics - Question 1 - 2016 - Paper 2
Step 1
1.1 Comment on the skewness of the data.
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Answer
The data is skewed to the left. This indicates that there are more low scores and that the higher scores are less frequent.
Step 2
1.2 Write down the range of the marks obtained.
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Answer
The range of the marks is calculated as follows: 80 - 20 = 60.
Step 3
1.3 If the learners had to obtain 32 marks to pass the test, estimate the percentage of the class that failed the test.
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Answer
25% of the learners failed the test, as they did not achieve the minimum passing mark of 32.
Step 4
1.4 Fill in the marks of the remaining learners in ascending order.
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Answer
The marks in ascending order are: 20, 28, 36, 41, 62, 69, 75, 80.
