Mathematics

1.  Assume there is a mound shaped distribution with a mean of 56 and a standard deviation of 2.5.  Use this information to answer the following questions.

a.  What is the approximate percent of the area between 51 and 61?

b.  What is the approximate percent of the area below 53.5?

c.  What is the approximate percent of the area above 61?

d.  What is the approximate percent of the area between 58.5 and 63.5?

e.  What is the z-score for 63.3?

f.  What is the z-score for 61?

g.  What is the data value associated with the z-score of -1.5?

h.  What is the data value associated with the z-score of 2.2?

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