Answer:
The first quartile of the IQ scores of adults is 82.26.
Step-by-step explanation:
The first quartile is the value that is greater than 25% of the observations and less than 75% of the observation.
The formula to compute the first quartile (Q₁) of a Normal distribution is:
[tex]Q_{1}=\mu-0.68\sigma[/tex]
The mean and standard deviation of the IQ scores of adults are:
[tex]\mu=96.2\\\sigma=20.5[/tex]
Compute the first quartile value as follows:
[tex]Q_{1}=\mu-0.68\sigma=96.2-(0.68\times20.5)=82.26[/tex]
Thus, the first quartile of the IQ scores of adults is 82.26.
