IQ scores are normally distributed with a mean µ = 100 and a standard deviation ? = 15. Based on this distribution, determine
a. the percentage of IQ scores between 100 and 120.
b. the probability of selecting a person at random having an IQ between 100 and
120.
c. the percentage of IQ scores between 88 and 100.
d. the probability of selecting a person at random having an IQ between 88 and
100.
e. the percentage of IQ scores that are 110 or above.
f. the probability of selecting a person at random having an IQ of 110 or above.
What would be an ideal response?
a.
120 100
15
1.33
x
z
?
?
?
=
?
= =
40.82% of IQ scores fall between 100 and 120.
b.
P = .4082
c.
88 100
15
.8
x
z
?
?
?
=
?
=
= ?
28.81% of IQ scores fall between 88 and 100.
d.
P = .2881
e.
110 100
15
.667
x
z
?
?
?
=
?
= =
25.14% of IQ scores fall at 110 or above.
f.
P = .2514
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