Further question help

[CA15]

Hi,
I am having trouble about the thinking process for this question. If someone could explain how to do it, it would be of great help.

Mark is part of a large group of students whose scores on a Math's test were found to be normally distributed with a mean of 60 and a standard deviation of 6. Which of the following scores is Mark most likely to have achieved?

A) 42
B) 48
C) 55
D) 66
E) 72

[PhoenixxFire]

Hey,

To do this you need to understand how normal distribution work and know what score is the most frequent - in this case 60.

Looking at this graph of a normal distribution you can see that the further away you get from the mean, the less common it is to get that score. Therefore the most likely score that Mark will get is the one that is the closest to the mean (C).

[Aaron]

Just adding onto to PF's already fantastic response - you've posted a few threads now each containing one question. May I recommend you post future questions in the VCE Further Maths Question Thread as a reply for organisational purposes. Cheers in advance!