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Use The Empirical Rule To Solve Problems

Given a dataset with a mean of 60 and a standard deviation of 5, what percentage of the data falls below 50?

A test is normally distributed with a mean score of 75 and a standard deviation of 10. What is the probability that a randomly selected student scored between 65 and 85?

In a dataset with a mean of 30 and a standard deviation of 4, what is the probability that a randomly chosen value is greater than 38?

If the weights of a sample of fruit baskets follow a normal distribution with a mean of 5 pounds and a standard deviation of 1 pound, what percentage of baskets weigh between 4 and 6 pounds?

Given a dataset with a mean of 60 and a standard deviation of 5, what percentage of the data falls below 50?

For a set of exam scores with a mean of 75 and a standard deviation of 12, what percentage of students scored above 87?

For a dataset with a mean of 50 and a standard deviation of 8, what is the range of values that contains approximately 99.7% of the data?

In a normal distribution with a mean of 120 and a standard deviation of 15, what is the probability that a randomly chosen value is less than 105?

The IQ scores in a population have a mean of 100 and a standard deviation of 15. What percentage of the population has an IQ between 85 and 115?

For a dataset with a mean of 50 and a standard deviation of 10, what is the probability that a randomly selected value is below 30?