Question

Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 16. Use the empirical rule to determine the following. (a) What percentage of people has an IQ score between 84 and 116? (b) What percentage of people has an IQ score less than 52 or greater than 148? (c) What percentage of people has an IQ score greater than 116?

Answer #1

a)

for normal distribution z score =(X-μ)/σx | |

here mean= μ= | 100 |

std deviation =σ= | 16.000 |

percentage of people has an IQ score between 84 and 116:

probability = | P(84<X<116) | = | P(-1<Z<1)=68.0% |

b)

percentage of people has an IQ score less than 52 or greater than 148:

P(X<52)+P(X>148)=100-P(52<X<148)=100-P(-3<Z<3)=100-99.7 =0.3%

c)

percentage of people has an IQ score greater than 116:

=P(X>116)=P(Z>1)=16.0%

Scores of an IQ test have a bell-shaped distribution with a
mean of 100 and a standard deviation of 16 . Use the empirical rule
to determine the following.
(a) What percentage of people has an IQ score between 52 and
148 ?
(b) What percentage of people has an IQ score less than 84 or
greater than 116 ?
(c) What percentage of people has an IQ score greater than 116
?

Scores of an IQ test have a bell-shaped distribution with a
mean of
100 and a standard deviation of 16.
Use the empirical rule to determine the following. (In the
answer do not write the % symbol).
(a) What percentage of people have an IQ score between 52 and
148?
%
(b) What percentage of people have an IQ score less than 84 or
greater than 116? %
(c) What percentage of people have an IQ score greater than
148? %
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mean of 100 and a standard deviation of 20. Use the empirical rule
to determine the following.
(a) What percentage of people has an IQ score between 40 and
160?
(b) What percentage of people has an IQ score less than 80 or
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(c) What percentage of people has an IQ score greater than
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mean of 100 and a standard deviation of 20. Use the empirical rule
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(a) What percentage of people has an IQ score between 40 and
160?
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Scores of an IQ test have a bell-shaped distribution with a
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and a standard deviation of
20.
Use the empirical rule to determine the following.
(a) What percentage of people has an IQ score between
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