Exploring Density Curves and Normal Distributions

What is the main property of a density curve?

• It can have negative values.

• It always has an area of 0.5.

• It is always symmetric.

• It always has an area of 1.

How do you calculate the area of a uniform density curve?

• Base - Height

• Base * Height

• Base / Height

• Base + Height

What is the mean and median of a uniform density curve with a base of 5?

• 2.5 and 2.5

• 5 and 5

• 1 and 4

• 0 and 5

What is the probability of selecting a single value from a uniform density curve?

• 1

• 0.5

• Approximately zero

• 0

What shape does a normal distribution have?

• Skewed

• Rectangular

• Bell-shaped

• Triangular

In a normal distribution, what is the relationship between the mean, median, and mode?

• Mode is always greater than mean

• All three are the same

• Median is always less than mode

• Mean is always greater than median

What percentage of data falls within one standard deviation of the mean in a normal distribution?

• 68%

• 50%

• 95%

• 99.7%

According to the empirical rule, what percentage of data falls within three standard deviations of the mean?

• 68%

• 100%

• 95%

• 99.7%

If a normal distribution has a mean of 1000 and a standard deviation of 200, what percentage of scores fall between 600 and 1400?

• 95%

• 99.7%

• 68%

• 50%

What is the standard normal distribution?

• A normal distribution with a mean of 0 and standard deviation of 1

• A normal distribution with a mean of 1 and standard deviation of 0

• A normal distribution with a mean of 1 and standard deviation of 1

• A normal distribution with a mean of 0 and standard deviation of 0