Normal Distribution and Percentiles

According to the empirical rule, how much of the data falls within 3 standard deviations? 

• 25%

• 68%

• 95%

• 99.7%

The center of the curve represents what value of a data set?

• μ

• δ

• Σ

• Ζ

What is the total area under the curve?

• 1
• .9998
• .997
• -3 < z < 3

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

• 68%

• 81.5%

• 16%

• 34%

Which is a normal distribution graph?

• 
• 
• 
• 

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%

Which best describes the shaded part of this normal distribution graph?

• All data that is one or higher.

• All data that is one or more standard deviations above the mean.

• All data that is between 1 and 3.

• All data that is above the mean.

Here are the weights (in pounds) of 10 puppies: 4 4 5 7 8 8 8 10 12 13 What is the percentile of a 5 pound puppy?

• 30th percentile

• 20th percentile

• 70th percentile

• 30th percentile

What percent of the data is between 25 and 30 on the number line?

• 25%

• `50%

• 75%

• 100%

35 is

• mean

• variance

• standard deviation

• 1st quartile