A division-wide aptitude test in Mathematics was conducted to 1 000 pupils. The mean of the test is 58 and the standard deviation is 12. The scores also approximate the normal distribution. a. What is...

A division-wide aptitude test in Mathematics was conducted to 1 000 pupils. The mean of the test is 58
and the standard deviation is 12. The scores also approximate the normal distribution.
a. What is the minimum score to belong to the upper 10% of the group?
b. What are the two extreme scores outside of which 5% of the group are expected to fall?
c. What is the score that divides the distribution into two such that 75% of the cases is below it?
d. Estimate the range of scores that will include the:
i. Middle 50% of the distribution.
ii. Middle 99% of the distribution.