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Intelligence Quotient (IQ) scores are widely used to measure cognitive ability. A psychological research institute analyzes IQ scores to understand population intelligence distributions. In 2023, the IQ scores of a large adult population were normally distributed with a mean of 100 and a standard deviation of 15.
Using this information, calculate the following probabilities or values for the IQ scores:
The percentage of adults with IQ scores between 85 and 100.
7
8
9
+
4
5
6
-
1
2
3
*
C
0
.
÷
\(\pourcent\)
The percentage of adults with IQ scores between 70 and 100.
7
8
9
+
4
5
6
-
1
2
3
*
C
0
.
÷
\(\pourcent\)
The percentage of adults with IQ scores less than 115.
7
8
9
+
4
5
6
-
1
2
3
*
C
0
.
÷
\(\pourcent\)
In 2024, if there were 800 adults in this population, estimate the number of adults with IQ scores greater than 130. (
calculatrice
!
e
\(\pi\)
(
)
%
AC
sin
cos
tan
7
8
9
/
\(\sin^{-1}\)
\(\cos^{-1}\)
\(\tan^{-1}\)
4
5
6
*
\(x^2\)
\(\sqrt{\phantom{2}}\)
x
y
1
2
3
-
ln
exp
log
0
.
=
+
and round to the nearest integer.)
7
8
9
+
4
5
6
-
1
2
3
*
C
0
.
÷
adults
For a normal distribution, the coverage probabilities are illustrated below:
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