The Empirical Rule Lesson

The Empirical Rule

(The 68-95-99.7 Rule)

Finite Math

EQ: Tuesday, April 16, 2024

• How do I use the 68-95-99 Rule?

Multiple Choice

The weight of babies born in the United States is assumed to be normally distributed. What percent of the babies one standard deviation from the mean?

• 68

• 34

• 95

• 99.7

Multiple Choice

The weight of babies born in the United States is assumed to be normally distributed. The mean weight of babies born in the U. S. is 7 pounds 9 ounces or 121 ounces with a standard deviation of 17 ounces.

What percent of the babies are between 87 and 155 ounces?

• 68

• 34

• 95

• 99.7

Fill in the Blank

The weight of babies born in the United States is assumed to be normally distributed. The mean weight of babies born in the U. S. is 7 pounds 9 ounces or 121 ounces with a standard deviation of 17 ounces.

What percent of the babies are between 121 and 155 ounces?

.

Fill in the Blank

The average playing time for a youtube "Short" is 35 seconds, and the standard deviation is 5 seconds.

What value is 1 standard deviation above the mean?

Fill in the Blank

The average playing time for a youtube "Short" is 35 seconds, and the standard deviation is 5 seconds.

What value is 1 standard deviation below the mean?

Fill in the Blank

The average playing time for a youtube "Short" is 35 seconds, and the standard deviation is 5 seconds.

What value is 2 standard deviations above the mean?

Fill in the Blank

The average playing time for a youtube "Short" is 35 seconds, and the standard deviation is 5 seconds.

Assuming the distribution of time is approximately normal, about what percentage of times are between 30 and 45 seconds?

.

Fill in the Blank

The average playing time for a youtube "Short" is 35 seconds, and the standard deviation is 5 seconds.

Assuming the distribution of time is approximately normal, about what percentage of times are less than 20 seconds?

.

Fill in the Blank

The average playing time for a youtube "Short" is 35 seconds, and the standard deviation is 5 seconds.

Assuming the distribution of time is approximately normal, about what percentage of times are longer than 45 seconds?

.

Fill in the Blank

The test scores for a test is normally distributed. The mean score is 150 with a standard deviation of 9. Roger got 159. What is Roger's percentile on this test?

​84

Math Response

The distribution of heights of young men is approximately normal with a mean of 70 inches and a standard deviation of 2.5 inches. Find the height that is 3 standard deviations above the mean.

Type answer here

Correct Answer: 77.5

Deg^°

Rad

Math Response

The distribution of heights of young men is approximately normal with a mean of 70 inches and a standard deviation of 2.5 inches. Find the height that is 2 standard deviations below the mean.

Type answer here

Correct Answer: 65

Deg^°

Rad

Math Response

The distribution of SAT scores is approximately normal with a mean of 500 and a standard deviation of 100. Find the percentage of seniors who score between 400 and 600.

Type answer here

Correct Answer: 68

Deg^°

Rad

Math Response

The distribution of SAT scores is approximately normal with a mean of 500 and a standard deviation of 100. Find the percentage of seniors who score between 500 and 600.

Type answer here

Correct Answer: 34

Deg^°

Rad

Math Response

The distribution of SAT scores is approximately normal with a mean of 500 and a standard deviation of 100. Find the percentage of seniors who score above 700.

Type answer here

Correct Answer: 2.5

Deg^°

Rad

Math Response

The distribution of SAT scores is approximately normal with a mean of 500 and a standard deviation of 100. Find the percentage of seniors who score between 300 and 700.

Type answer here

Correct Answer: 95

Deg^°

Rad

Math Response

The distribution of SAT scores is approximately normal with a mean of 500 and a standard deviation of 100. Find the percentage of seniors who score between 500 and 700.

Type answer here

Correct Answer: 47.5

Deg^°

Rad

Math Response

The distribution of SAT scores is approximately normal with a mean of 500 and a standard deviation of 100. Find the percentage of seniors who score above 600.

Type answer here

Correct Answer: 16

Deg^°

Rad