Density Curves AP Stat Green

Two measures of center are marked on the density curve shown. Which of the following is correct?

• The median is at the yellow line and the mean is at the red line.

• The median is at the red line and the mean is at the yellow line.

• The mode is at the red line and the median is at the yellow line.

• The mode is at the yellow line and the median is at the red line.

• .

  The mode is at the red line and the mean is at the yellow line.

If a density curve is symmetrical, then...

• There is no way to know the relationship between the mean and the median

• The mean should be less than the median

• The mean should be greater than the median

• The mean is generally equal to the median

What is the total area under the normal curve in a standard normal distribution?

• 1

• 2

• 3

• 4

For the density curve shown, which statement is true?

• The density curve is Normal.

• The density curve is skewed right.

• At the mean, the height of the curve is 1.

• The density curve is symmetric

• None of the above is correct.

A model that describes the overall pattern of a distribution.

• Density Curve

• Approximately Normal

• t distribution

• Chi-Square Distribution

The density curve shown takes the value of 2

on the interval 0 ≤ x ≤ 2.

What percent of the observations lie

between 0.5 and 1.2?

• 25%

• 35%

• 50%

• 68%

• 70%

A class of density curves that are symmetric, single-peaked, and bell-shaped.

• Approximately Normal

• Density Curves

• Histograms

• Unimodel

What is the shape of the distribution?

• Skewed Left

• Skewed Right

• Symmetric

• Uniform

What is the shape of the distribution?

• Skewed Left

• Skewed Right

• Symmetric

• Uniform

Regardless of the shape of a density curve, the total area under the curve is always...

• 0

• 1

• 100

• 0.5