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09.09.2021 •
Mathematics
2. Suatu kuiz Matematik mengandungi 40 soalan. Setiap jawapan yang betul diberi 5 markah dan setiap
jawapan yang salah ditolak 3 markah. Sofian dan Ridzuan telah menyertai kuiz itu. Sofian menjawab
36 soalan dengan betul manakala Ridzuan ditolak 24 markah bagi jawapan yang salah.
A Mathematics quiz contains 40 questions. Each correct answer is given 5 marks and each incorrect answer is
deducted 3 marks. Sofian and Ridzuan participated in the quiz Sofian answered 36 questions correctly while
Ridzuan was deducted 24 marks for the incorrect answers.
(b) Hitung beza antara markah Sofian dan markah Ridzuan.
Calculate the difference between Sofian's marks and Ridzuan's marks.
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Ответ:
C. 95%
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 1189 points, standard deviation of 397 points.
Percentage between 395 and 1983 points?
395 = 1189 - 2*397
1983 = 1189 + 2*397
So within 2 standard deviations of the mean, which by the Empirical Rule is approximately 95%, and the answer is option C.