Empirical Rule Statistics

Use the following information and the Empirical Rule to estimate the answer.

The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.

Find the percentage of golfers that are between 30 and 46 years old.

• 68%

• 94%

• 95%

• 99.7%

On the math portion of the SAT, scores are roughly normal, with a mean of 500 and a standard deviation of 100. What percent of scores are above 500?

• 50%

• 68%

• 95%

• 99.7%

On the math portion of the SAT the scores are roughly normal with a mean of 500 and a standard deviation of 100. Between what two values do approximately 95% of scores lie? (Hint: 95% is 2 standard deviations)

• 500-600

• 200-800

• 300-700

• 500-800

The Empirical (68-95-99.7) Rule can be applied only if data is ....

• Normally Distributed

• Uniform

• Skewed

• Symmetric

Use the following information and the Empirical Rule to estimate the answer.

The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.

There are 500 golf members at the Mathy Country Club. How many are older than 34?

• 80

• 420

• 84

• 488

Given a mean of 75 and a standard deviation of 7, what percentage of scores are above 82?

• 34%

• 81.5%

• 16%

• 2.5%

Given a mean of 75 and a standard deviation of 7, how many students out of 500 would score higher than 82?

• 16

• 80

• 420

• 250

500 juniors at Central High School took the ACT last year. The scores were distributed normally with a mean of 24 and standard deviation of 4. Approximately how many juniors scored between 24 and 28?

• 100

• 500

• 170

• 250

The number of nails of a given length is normally distributed with a mean length of 5 inches and a standard deviation of 0.03 inches. Find the number of nails in a bag of 120 that are less than 4.97 inches long.

• 19

• 120

• 100

• 25

What shape is a normal distribution curve?

• Half curve

• Round curve

• Bell curve

• Square curve