Standard Deviation Practice

Front

What is Standard Deviation?

Back

A measure of the amount of variation or dispersion in a set of values.

Front

How is the population standard deviation calculated?

Back

It is calculated using the formula: σ = √(Σ(xi - μ)² / N), where μ is the population mean and N is the number of data points.

Front

What is the difference between population and sample standard deviation?

Back

Population standard deviation uses N in the denominator, while sample standard deviation uses (n-1) to account for sample size.

Front

What does the symbol σ represent?

Back

Population Standard Deviation.

Front

What does the symbol s represent?

Back

Sample Standard Deviation.

Front

How do you calculate the variance of a data set?

Back

Variance is calculated as the average of the squared differences from the mean.

Front

What is the formula for sample variance?

Back

s² = Σ(xi - x̄)² / (n - 1), where x̄ is the sample mean.

Front

What is the range of a data set?

Back

The difference between the maximum and minimum values in the data set.

Front

How do you find the range of the data set: 5.3, 5.2, 5.2, 5.6, 5.7?

Back

Range = 5.7 - 5.2 = 0.5 kg.

Front

What is the relationship between standard deviation and variance?

Back

Standard deviation is the square root of variance.