STATISTICS (Philippines)

A division-wide aptitude test in Mathematics was conducted to 1000 pupils. The mean of the test is 58 and the standard deviation is 12. The scores also approximate the normal distribution. Round off to the nearest whole number.

If there are two answers in a question, encode it as; 23 and 39 or smallest answer and largest answer

What is the minimum score to belong to the upper 10% of the group?

What are the two extreme scores outside of which 5% of the group are expected to fall?

What is the score that divides the distribution into such that 75% of the cases is below it?

Estimate the range of the scores that will include the middle 50% of the distribution?