Question

Scores of an IQ test have a bell-shaped distribution with a 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 60 or greater than 140?

(c) What percentage of people has an IQ score greater than 140?

Answer #1

Given that, mean = 100 and standard deviation = 20

According to Empirical rule,

i) Approximately 68% of the data fall within 1 standard deviations of the mean.

(mean - sd = 100 - 20 = 80 and mean + sd = 100 + 20 = 120)

ii) Approximately 95% of the data fall within 2 standard deviations of the mean.

(mean - 2sd = 100 - (2*20) = 60 and mean + 2sd = 100 + (2*20) = 140)

iii) Approximately 99.7% of the data fall within 3 standard deviations of the mean.

(mean - 3sd = 100 - (3*20) = 40 and mean + 3sd = 100 + (3*20) = 160)

Therefore,

a) **99.7%** of people has an IQ score between 40
and 160.

**Answer : 99.7%**

b) 95% of the people has an IQ score between 60 and 140.

Therefore, 100 - 95 = **5%** of people has an IQ
score less than 60 or greater than 140

**Answer : 5%**

c) 5/2 = **2.5%** of people has an IQ score greater
than 140

**Answer : 2.5%**

Scores of an IQ test have a bell-shaped distribution with a
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 40 or
greater than 160?
(c) What percentage of people has an IQ score greater than
120?

Scores of an IQ test have a bell-shaped distribution with a
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
greater than 120?
(c) What percentage of people has an IQ score greater than
160?

Scores of an IQ test have a bell-shaped distribution with a
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
80
and
120
(b) What percentage of people has an IQ score less than
40
or greater than
160
(c) What percentage of people has an IQ score greater than
120

Scores of an IQ test have a bell-shaped distribution with a mean
of 100 and a standard deviation of 14. Use the empirical rule to
determine the following.
(a) What percentage of people has an IQ score between 72 and 128
?
(b) What percentage of people has an IQ score less than 86 or
greater than 114 ?
(c) What percentage of people has an IQ score greater than 128
?

Scores of an IQ test have a bell-shaped distribution with a
mean of 100 and a standard deviation of 19. Use the empirical rule
to determine the following. (a) What percentage of people has an
IQ score between 43 and 157? (b) What percentage of people has an
IQ score less than 62 or greater than 138? (c) What percentage of
people has an IQ score greater than 138?

Scores of an IQ test have a bell-shaped distribution with a
mean of
100
and a standard deviation of
12
Use the empirical rule to determine the following.(a) What
percentage of people has an IQ score between
64
and
136?
(b) What percentage of people has an IQ score less than
88
or greater than
112?
(c) What percentage of people has an IQ score greater than
136?

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
68
and
132?
(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
132?

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 19. Use the empirical rule
to determine the following. (a) What percentage of people has an
IQ score between 43 and 157? (b) What percentage of people has an
IQ score less than 81 or greater than 119? (c) What percentage of
people have an IQ score greater than 157?

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? %
(d)...

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