When using standard deviation keep in mind the following properties.
Standard deviation is only used to measure spread or dispersion around the mean of a data set.
Standard deviation is never negative.
Standard deviation is sensitive to outliers. A single outlier can raise the standard deviation and in turn, distort the picture of spread.
For data with approximately the same mean, the greater the spread, the greater the standard deviation.
If all values of a data set are the same, the standard deviation is zero (because each value is equal to the mean).
When analysing normally distributed data, standard deviation can be used in conjunction with the mean in order to calculate data intervals.
If = mean, S = standard deviation and x = a value in the data set, then
about 68% of the data lie in the interval: - S < x < + S.
about 95% of the data lie in the interval: - 2S < x < + 2S.
about 99% of the data lie in the interval: - 3S < x < + 3S.
Standard deviation is only used to measure spread or dispersion around the mean of a data set.
Standard deviation is never negative.
Standard deviation is sensitive to outliers. A single outlier can raise the standard deviation and in turn, distort the picture of spread.
For data with approximately the same mean, the greater the spread, the greater the standard deviation.
If all values of a data set are the same, the standard deviation is zero (because each value is equal to the mean).
When analysing normally distributed data, standard deviation can be used in conjunction with the mean in order to calculate data intervals.
If = mean, S = standard deviation and x = a value in the data set, then
about 68% of the data lie in the interval: - S < x < + S.
about 95% of the data lie in the interval: - 2S < x < + 2S.
about 99% of the data lie in the interval: - 3S < x < + 3S.
Our greatest weakness lies in giving up.
The most certain way to succeed is always to try just one more time. — Thomas A. Edison
The most certain way to succeed is always to try just one more time. — Thomas A. Edison
