Question

Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.56 and a standard deviation of 0.38. Using the empirical rule, what percentage of the students have grade point averages that are greater than 1.8?

Answer #1

Given that, mean = 2.56

standard deviation = 0.38

By Empirical rule, approximately 95% of the data fall within 2 standard deviations of the mean. That is 95% of the students have grade point averages that are between 1.8 and 3.32

Therefore, 100 - 95 = 5% of the data fall outside the 2 standard deviations of the mean.

And 5/2 = 2.5% of the data fall below 1.8 and fall above 3.32

Hence, 95 + 2.5 = **97.5%** of the students have
grade point averages that are greater than 1.8

**Answer : 97.5%**

Suppose that grade point averages of undergraduate students at
one university have a bell-shaped distribution with a mean of 2.56
2.56 and a standard deviation of 0.38 0.38 . Using the empirical
rule, what percentage of the students have grade point averages
that are greater than 1.42 1.42 ? Please do not round your
answer.

Suppose that grade point averages of undergraduate students at
one university have a bell-shaped distribution with a mean of 2.56
and a standard deviation of 0.38. Using the empirical rule, what
percentage of the students have grade point averages that are no
more than 2.94? Please do not round your answer.

Suppose that grade point averages of undergraduate students at
one university have a bell-shaped distribution with a mean of 2.56
and a standard deviation of 0.43. Using the empirical rule, what
percentage of the students have grade point averages that are
between 2.13 and 2.99?
Please explain in great detail

Suppose that grade point averages of undergraduate students at
one university have a bell-shaped distribution with a mean of 2.52
and a standard deviation of 0.38. Using the empirical rule, what
percentage of the students have grade point averages that are at
least 2.14? Please do not round your answer.

Suppose that grade point averages of undergraduate students at
one university have a bell-shaped distribution with a mean of 2.53
and a standard deviation of 0.41. Using the empirical rule, what
percentage of the students have grade point averages that are
greater than 2.94? Please do not round your answer.

Suppose that grade point averages of undergraduate students at
one university have a bell-shaped distribution with a mean of 2.5
and a standard deviation of 0.45. Using the empirical rule, what
percentage of the students have grade point averages that are no
more than 3.85? Please do not round your answer.

Suppose that grade point averages of undergraduate students at
one university have a bell-shaped distribution with a mean of 2.54
and a standard deviation of 0.43. Using the empirical rule, what
percentage of the students have grade point averages that are less
than 3.83? Please do not round your answer.

Suppose that grade point averages of undergraduate students at
one university have a bell-shaped distribution with a mean of 2.54
and a standard deviation of 0.44. Using the empirical rule, what
percentage of the students have grade point averages that are at
least 2.1? Please do not round your answer

Suppose that grade point averages of undergraduate
students at one university have a bell-shaped distribution with a
mean of 2.54 and a standard deviation of 0.42. Using the empirical
rule, what percentage of the students have grade point averages
that are at least 3.8? Please do not round your
answer.

Suppose that grade point averages of undergraduate students at
State University have a bell-shaped distribution with a mean of
3.02 and a standard deviation of 0.41. Approximately what
percentage of students at State University have grade point
averages between 2.61 and 3.84? Round your answer to 2 decimal
place.

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