Standard Deviation

Front

What is Standard Deviation?

Back

Standard Deviation is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values tend to be close to the mean, while a high standard deviation indicates that the values are spread out over a wider range.

Front

How do you calculate the mean of a set of numbers?

Back

To calculate the mean, add all the numbers together and then divide by the total count of numbers.

Front

What is the formula for Standard Deviation for a population?

Back

The formula for population standard deviation is: σ = √(Σ(xi - μ)² / N), where μ is the mean, N is the number of data points, and xi represents each data point.

Front

What is the difference between population and sample standard deviation?

Back

Population standard deviation uses the entire population for calculations, while sample standard deviation uses a subset of the population and divides by (n-1) instead of n.

Front

What is the range of a data set?

Back

The range is the difference between the largest and smallest values in a data set.

Front

What is the median of a data set?

Back

The median is the middle value when the numbers are arranged in order. If there is an even number of observations, the median is the average of the two middle numbers.

Front

What is the mode of a data set?

Back

The mode is the value that appears most frequently in a data set.

Front

How does 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, about 95% falls within two standard deviations, and about 99.7% falls within three standard deviations.

Front

What does a standard deviation of 0 indicate?

Back

A standard deviation of 0 indicates that all values in the data set are identical and there is no variation.

Front

What is variance?

Back

Variance is the square of the standard deviation and measures the spread of a set of numbers.