For each question: 1) Give an appropriate definition, using X to represent the variable in question.

2) Find the z-score(s) required, if the standard normal table were to be used. 3) Sketch the normal curve, which includes shading of the corresponding area, or given areas and the location of the percentile.

2.On a recent math test, the mean score was 75 and the standard deviation was 5. Mike made 93.

a) What is the 25^th percentile for the math scores (remember, this is the same as Q₁)?

b) What is the 75^th percentile for the math scores (remember, this is the same as Q₃)?

c) Using the values you found in parts (a) and (b) determine if Mike's score is an outlier.