Standard Deviation and Variance Review

Front

What is standard deviation?

Back

Standard deviation is a measure of the amount of variation or dispersion in a set of values. It indicates how much individual data points differ from the mean of the data set.

Front

How do you calculate the standard deviation?

Back

Take the square root of the variance.

Front

What is variance?

Back

Variance is a statistical measurement that describes the spread of numbers in a data set. It is the average of the squared differences from the mean.

Front

If the standard deviation of a data set is 4, what is the variance?

Back

16 (Variance is the square of the standard deviation).

Front

Before you can begin calculating the variance, you must first:

Back

Find the mean.

Front

What is the formula for variance?

Back

Variance (σ²) = Σ (xi - μ)² / N, where xi is each value, μ is the mean, and N is the number of values.

Front

What does a high standard deviation indicate?

Back

A high standard deviation indicates that the data points are spread out over a wider range of values.

Front

What does a low standard deviation indicate?

Back

A low standard deviation indicates that the data points tend to be close to the mean of the set.

Front

How does the standard deviation relate to the normal distribution?

Back

In a normal distribution, about 68% of the data falls within one standard deviation of the mean.

Front

What is the relationship between variance and standard deviation?

Back

Standard deviation is the square root of variance.