Z-Scores

Front

What is a Z-Score?

Back

A Z-Score is a statistical measurement that describes a value's relationship to the mean of a group of values, expressed in terms of standard deviations.

Front

What does a positive Z-Score indicate?

Back

A positive Z-Score indicates that the value is above the mean.

Front

What does a negative Z-Score indicate?

Back

A negative Z-Score indicates that the value is below the mean.

Front

What is the formula for calculating 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

If the mean is 50 and the standard deviation is 10, what is the Z-Score for a value of 60?

Back

The Z-Score is 1.0.

Front

If the mean is 30 and the standard deviation is 5, what is the Z-Score for a value of 25?

Back

The Z-Score is -1.0.

Front

What is the significance of a Z-Score of 0?

Back

A Z-Score of 0 indicates that the value is exactly equal to the mean.

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.

Front

How do you interpret a Z-Score of -2?

Back

A Z-Score of -2 indicates that the value is 2 standard deviations below the mean.

Front

What is the relationship between Z-Scores and the normal distribution?

Back

Z-Scores are used to determine how far away a value is from the mean in a normal distribution, allowing for comparison across different datasets.

Tags

CCSS.HSS.ID.A.4