John recently did a class test in each of three subjects - HSC - SSCE Mathematics Standard - Question 8 - 2020 - Paper 1
Question 8
John recently did a class test in each of three subjects. The class scores on each test were normally distributed.
The table shows the subjects and John’s scores as... show full transcript
Worked Solution & Example Answer:John recently did a class test in each of three subjects - HSC - SSCE Mathematics Standard - Question 8 - 2020 - Paper 1
Step 1
Determine John's performance in French
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Answer
To assess John's performance in French, we compare his score to the mean. John scored 82, while the mean was 70, indicating he scored 12 points above the mean.
Step 2
Determine John's performance in Commerce
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Answer
In Commerce, John scored 80, exceeding the mean of 65 by 15 points, demonstrating a strong performance.
Step 3
Determine John's performance in Music
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Answer
For Music, John scored 74, which is 24 points above the mean of 50, indicating a very strong performance as well.
Step 4
Identify the strongest and weakest subject
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Answer
John's strongest subject is Music (24 points above the mean), and his weakest subject is Commerce (15 points above the mean). Therefore, the correct answer is A: Commerce as the weakest subject and French as the strongest.
