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suppose that grade point averages of undergraduate students at one university have a bell shaped distribution with a mean of 2.61 and a standard deviation of 0.45.
Using the empirical rule, what percentage of the students have grade point averages that are at least 2.16? Please do not round your answer.

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raphealnwobi

84% of the students have grade point averages that are at least 2.16

Empirical rule

Empirical rule states that for a normal distribution, 68% are within one standard deviation from the mean,  95% are within two standard deviation from the mean,  99.7% are within three standard deviation from the mean.

68% = mean ± standard deviation = 2.61 ± 0.45 = (2.16, 3.06)

The percentage of the students have grade point averages that are at least 2.16 = 68% + (100% - 68%)/2 = 84%

84% of the students have grade point averages that are at least 2.16

Find out more on Empirical rule at: https://brainly.com/question/10093236

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