Exploring the Normal Distribution and Empirical Rule

What is the shape of a normal distribution?

• Skewed

• Bell-shaped

• Uniform

• Bimodal

Which axis is rarely included when drawing a normal distribution?

• Y-axis

• X-axis

• None of the above

• Z-axis

What two parameters determine the shape and location of a normal distribution?

• Mean and standard deviation

• Mean and variance

• Range and interquartile range

• Median and mode

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

• They are all equal

• Mean is greater than median

• Median is greater than mode

• Mode is greater than mean

What is the total area under the normal distribution curve?

• 0.5

• 1

• 2

• 3

According to the empirical rule, what percentage of the area under the curve lies within 1 standard deviation of the mean?

• 99.7%

• 95%

• 68%

• 50%

How much area lies within 2 standard deviations of the mean according to the empirical rule?

• 68%

• 47.5%

• 95%

• 99.7%

What percentage of the area lies between 1 and 2 standard deviations from the mean?

• 34%

• 13.5%

• 2.35%

• 47.5%

What is the percentage of area between 2 and 3 standard deviations from the mean?

• 47.5%

• 2.35%

• 34%

• 13.5%

What are the two key takeaways about the normal distribution curve?

• The curve is uniform and the area is 2

• The area under the curve is equal to 1 and the empirical rule

• The curve is skewed and the area is 0.5

• The mean is always greater than the median and mode