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Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA MA – FIA FMA › Normal distribution

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- November 16, 2022 at 8:51 pm #671650
The results of a chemistry examination are normally distributed with a mean score of 56 and a standard deviation of 12.

What is the percentage probability that a student will score more than 80?the answer is

28%

Z-score = (x -?)/?

Therefore: (80 –56)/12 = 2

From the normal distribution table, 2 = 0.4772

To find the probability of scoring more than 80: 0.5 –0.4772 = 0.0228 or 2.28% as a %.where does the 0.5 come from? is it always 0.5 in these questions?

November 17, 2022 at 8:33 am #671685The 0.5 is because in a normal distribution always 50% (or 0.5) are above the mane and 0.5 are below the mean, because it is symmetrical.

I do suggest that you watch my free lectures on this where I do explain it.

The lectures are a complete free course for Paper MA and cover everything needed to be able to pass the exam well.

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