Front

What is a Normal Distribution?

Back

A Normal Distribution is a continuous probability distribution characterized by a symmetric bell-shaped curve, where the mean, median, and mode are all equal.

Front

What are the parameters of a Normal Distribution?

Back

The parameters of a Normal Distribution are the mean (µ) and the standard deviation (σ). The mean determines the center of the distribution, while the standard deviation measures the spread.

Tags

CCSS.6.SP.A.3

Front

What does the 68-95-99.7 rule state?

Back

The 68-95-99.7 rule states that in 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.

Tags

CCSS.HSS.ID.A.4

Front

How do you calculate a z-score?

Back

A z-score is calculated using the formula: z = (X - µ) / σ, where X is the value, µ is the mean, and σ is the standard deviation.

Front

What is the significance of percentiles in a Normal Distribution?

Back

Percentiles indicate the relative standing of a value within a distribution. For example, being in the 96th percentile means a value is higher than 96% of the data.

Tags

CCSS.HSS.ID.A.4

Front

How do you find the area under the curve for a Normal Distribution?

Back

The area under the curve for a Normal Distribution can be found using z-scores and standard normal distribution tables or software to determine probabilities.

Tags

CCSS.HSS.ID.A.4

Front

What is the empirical rule?

Back

The empirical rule states that for a Normal Distribution, about 68% of data falls within one standard deviation, 95% within two, and 99.7% within three standard deviations from the mean.

Tags

CCSS.HSS.ID.A.4

Front

What is the relationship between mean and median in a Normal Distribution?

Back

In a Normal Distribution, the mean and median are equal, as the distribution is symmetric around the mean.

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

Front

How do you interpret a z-score of 2?

Back

A z-score of 2 indicates that the value is 2 standard deviations above the mean, meaning it is higher than approximately 97.72% of the data.

Tags

CCSS.HSS.ID.A.4

Front

What is the purpose of standardizing a Normal Distribution?

Back

Standardizing a Normal Distribution allows for comparison between different distributions by converting values to z-scores.

Tags

CCSS.HSS.ID.A.4