Answer :
Final answer:
According to the 68-95-99.7 rule of normal distribution, 68% of students at the college would have a GPA between one standard deviation below and above the mean GPA, i.e., between 2.4 and 3.2.
Explanation:
The student is asking about Grade Point Average (GPA) distribution in a college, particularly those falling between 2.4 and 3.2. This question calls for an understanding of the 68-95-99.7 rule in statistics, which relates to the properties of a normal distribution curve.
In this rule, 68% of values fall within one standard deviation from the mean, 95% fall within two standard deviations, and 99.7% fall within three standard deviations. Here, the GPA mean is given as 2.8 with a standard deviation of 0.4. A GPA of 2.4 is one standard deviation below the mean and 3.2 is one standard deviation above the mean. Therefore, according to the 68-95-99.7 rule, the percentage of students who have a GPA within this range is 68%.
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