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Answer :
In this problem, we have a normal distribution with:
• mean μ = 97.8,
,• standard deviation σ = 15.2
The first quartile Q1 is given by the following formula:
[tex]Q_1=\mu-0.675\cdot\sigma\text{.}[/tex]Replacing the data of the problem, we get:
[tex]Q_1=97.8-0.675\cdot15.2=87.54._{}[/tex]Answer
The first quartile is 87.54.
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