Mean and Standard Deviation

Front

What is the mean?

Back

The mean is the average of a set of numbers, calculated by adding all the numbers together and dividing by the count of numbers.

Front

How do you calculate the mean of a data set?

Back

To calculate the mean, sum all the values in the data set and divide by the number of values.

Front

What is standard deviation?

Back

Standard deviation is a measure of the amount of variation or dispersion in a set of values.

Front

How is standard deviation calculated?

Back

Standard deviation is calculated by taking the square root of the variance.

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, showing less variability.

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, showing more variability.

Front

What is variance?

Back

Variance is the average of the squared differences from the mean, and it measures how far a set of numbers are spread out.

Front

If the variance is 64, what is the standard deviation?

Back

The standard deviation is 8, since it is the square root of the variance (√64 = 8).

Front

What is the relationship between mean and standard deviation?

Back

The mean provides a measure of central tendency, while the standard deviation provides a measure of spread or variability around that mean.

Front

How can you determine which data set has points closest to the mean?

Back

The data set with the lowest standard deviation has points closest to the mean.