Density Curves AP Stat

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.

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

Is this a probability distribution?

• No, the sum of p(x) does not equal 1.

• Yes, all p(x) are between 0 and 1.

• No, all p(x) are not between 0 and 1.

• Yes, the sum p(x) is 1.

Is this a probability distribution?

• No

• Yes

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

Which of the following is the most accurate description of the data distribution's shape?

• Skewed left with with a cluster between 6 and 8. Peak is 7.

• Skewed right with a cluster between 6 and 8. Peak is 6.

• Skewed left with a cluster at 6 and 7. Peak is 7

• Skewed right with a cluster at 6 and 7. Peak is 7.