The distribution of images on the pages of a 350-page catalog is found to follow normal distribution with a mean of 32 images per page and a standard deviation of 8 images per page. Which conclusion does this information best support?

Question

anonymous · Answer

A. Approximately 238 pages fall within the first standard deviation of the mean. 
B. Approximately 238 pages fall within the second standard deviation of the mean.
C. Approximately 238 pages fall within the third standard deviation of the mean.
D. Approximately 346 pages fall within the second standard deviation of the mean.
E. Approximately 332 pages fall within the third standard deviation of the mean.

anonymous · Answer

@amistre64

kropot72 · Answer

Do you know the empirical rule for a normal distribution?

kropot72 · Answer

The empirical rule states:
Approximately 68% of the data points lie within the range plus and minus one standard deviation from the mean.
Approximately 95% of the data points lie within the range plus and minus two standard deviations from the mean.
Approximately 99.7% of the data points lie within the range plus and minus three standard deviations from the mean.

What percentage of 350 do the number of pages in the answer choices represent? Working this out will help you to make the correct choice.

kropot72 · Answer

@pascuzzoa Do you need help on this one?