Unit 2 Review: The Normal Curve

Front

What is the normal curve?

Back

The normal curve, also known as the Gaussian distribution, is a symmetric, bell-shaped curve that represents the distribution of many types of data. It is characterized by its mean (average) and standard deviation (spread).

Front

What does a z-score represent?

Back

A z-score represents the number of standard deviations a data point is from the mean of the data set. It indicates how far away a value is from the average.

Front

If a value is equal to the mean, what is its z-score?

Back

0

Front

What is the z-score for a value that is smaller than the mean?

Back

Negative

Front

What is the z-score for a value that is larger than the mean?

Back

Positive

Front

How do you calculate a z-score?

Back

The formula for calculating a z-score is: z = (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation.

Front

What is the mean in a normal distribution?

Back

The mean is the average of all data points in a distribution and is the center point of the normal curve.

Front

What is the standard deviation in a normal distribution?

Back

The standard deviation measures the amount of variation or dispersion of a set of values. In a normal distribution, it determines the width of the curve.

Front

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

Back

Approximately 68% of the data falls within one standard deviation of the mean.

Front

What percentage of data falls within two standard deviations of the mean in a normal distribution?

Back

Approximately 95% of the data falls within two standard deviations of the mean.