2.4 - Finding Standard Deviation

Front

What is the formula for calculating the sample standard deviation?

Back

Take the square root of the variance, which is calculated by dividing the sum of squared deviations from the mean by n-1.

Front

What do you do with the mean when calculating standard deviation?

Back

Subtract the mean from each number in the data set.

Front

What is the first step in finding the standard deviation by hand?

Back

Calculate the mean of the data set.

Front

What do you do after squaring all the deviations from the mean?

Back

Add all the squared deviations together.

Front

What is the purpose of squaring the deviations when calculating standard deviation?

Back

To eliminate negative values and give more weight to larger deviations.

Front

What does 'n' represent in the context of standard deviation?

Back

The number of observations in the sample.

Front

What does 'n-1' represent when calculating sample standard deviation?

Back

It is used as the denominator to provide an unbiased estimate of the population standard deviation.

Front

What is variance in relation to standard deviation?

Back

Variance is the average of the squared deviations from the mean; standard deviation is the square root of variance.

Front

How do you find the variance of a data set?

Back

Calculate the mean, find the squared deviations from the mean, sum them up, and divide by n-1.

Front

What is the relationship between standard deviation and data spread?

Back

A larger standard deviation indicates a wider spread of data points from the mean.