Mean and Median and Skew from Density Curves

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.

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.

What is the shape of the distribution?

• Symmetrical

• Uniform

• Skewed Right

• Skewed Left

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

mean = median

• skewed left

• skewed right

• symmetrical

the mean is less than the median

• skewed left

• skewed right

• symmetrical

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

• 0

• 1

• 100

• 0.5