Question 1098246
a)  The z-score associated with the 98 percentile is 2.054 (use table of z-scores)
:
2.054 = (X - 100) / 16
:
X - 100 = 2.054 * 16 = 32.864
:
X = 132.864
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IQ required to join Mensa is 132.864
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b) (0.05/2) + 0.95 = 0.975
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z-score associated with 0.975 is 1.96 
:
1.96 = (X - 100) / 16
:
X - 100 = 1.96 * 16 = 31.36
:
X = 131.36
:
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An unusually high IQ is 131.36
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