Mid 2.2 Warm-Up: AP StatDensity Curves & Normal Distributions

Which of the following is a characteristic of a normal distribution?

• Skewed to the right

• Skewed to the left

• Symmetric & Bell Shaped

• Symmetric & Rainbow shaped

A density curve is a curve that is always ______ the horizontal axis.

• below

• on or above

• on or below

• above

In a skewed density curve, the mean is pulled in the direction of the ______.

• Short tail

• Long tail

• Center

• Median

For a symmetric density curve, the mean and median are located at the ______.

• Left tail

• Right tail

• Center

• Top

What is a density curve?

• A graphical representation of data

• An idealized description of a distribution of data

• A measure of central tendency

• A type of statistical error

Fill in the blank: According to the Empirical Rule, approximately ___% of observations fall within two standard deviations of the mean.

• 68

• 95

• 99.7

• 100

According to the Empirical Rule, what percentage of observations fall within two standard deviations of the mean?

• 68%

• 95%

• 99.7%

• 100%

The standard deviation of a standard normal distribution is ____.

• 0

• 1

• 2

• -1

Fill in the blank: When looking for percentages under the normal curve, use the __________ Normal Table.

• drawing

• standard

• empirical

• area

A statistics class has an average test score of 75 with a standard deviation of 5. Find the percentage of scores that fell below an 83.

• .9452

• .0548

• .8554

• 1.6