Normal Distribution

What is the shape of a normal distribution curve?

• Triangular

• Spiral

• Bell-shaped

• Square

What are the two key parameters that define a normal distribution?

• Median and range

• Skewness and kurtosis

• Mean and standard deviation

• Mode and variance

In a normal distribution, what percentage of the data falls within one standard deviation of the mean?

• 90%

• 75%

• 68%

• 50%

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CCSS.HSS.ID.A.4

What is the empirical rule for a normal distribution?

• Approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.

• Approximately 90% falls within three standard deviations

• Approximately 80% falls within two standard deviations

• Approximately 50% of the data falls within one standard deviation of the mean

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CCSS.HSS.ID.A.4

If the mean of a normal distribution is 50 and the standard deviation is 10, what is the z-score for a value of 60?

• 0.5

• 1

• 2.5

• 1.5

Tags

CCSS.HSS.ID.A.4

What is the area under the normal distribution curve between z = -1 and z = 1?

• Exactly 50%

• Approximately 68%

• Less than 30%

• Approximately 95%

Tags

CCSS.HSS.ID.A.4

What is the formula for calculating the z-score in a normal distribution?

• (X - μ) * σ

• (X + μ) / σ

• (X - μ) / σ

• (X - σ) / μ

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

• The mean, median, and mode are all equal in a normal distribution.

• The mode is always greater than the mean and median in a normal distribution.

• The median is always greater than the mean and mode in a normal distribution.

• The mean is always greater than the median and mode in a normal distribution.

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

What is the standard deviation of a standard normal distribution?

• 0.5

• 10

• 2

• 1

What is the probability of a value falling within 2 standard deviations of the mean in a normal distribution?

• 50%

• 95%

• 99%

• 80%

Tags

CCSS.HSS.ID.A.4