Table of Contents
What does it mean when one standard deviation is larger than another?
A smaller standard deviation indicates that more of the data is clustered about the mean while A larger one indicates the data are more spread out.
How do you compare standard deviations in two sets of data?
Comparison of two standard deviations is performed by means of the F-test. In this test, the ratio of two variances is calculated. If the two variances are not significantly different, their ratio will be close to 1.
When analyzing the standard deviation of two sets of similar data What does a larger standard deviation indicate?
To better describe the variation, we will introduce two other measures of variation—variance and standard deviation (the variance is the square of the standard deviation). These measures tell us how much the actual values differ from the mean. The larger the standard deviation, the more spread out the values.
Is standard deviation greater than mean deviation?
Standard deviation is always greater than mean deviation.
How do you know if standard deviation is bigger?
The standard deviation is small when the data are all concentrated close to the mean, exhibiting little variation or spread. The standard deviation is larger when the data values are more spread out from the mean, exhibiting more variation.
Which set of data would have a larger standard deviation?
The standard deviation is always positive or zero. The standard deviation is small when the data are all concentrated close to the mean, exhibiting little variation or spread. The standard deviation is larger when the data values are more spread out from the mean, exhibiting more variation.
Is it possible for two or more sets of values to have the same standard deviation and variance?
It is possible for two or more sets of values to have the same standard deviation and variance. The range is equal to the square of the variance. The variance is equal to the square of standard deviation. The standard deviation is equal to the square of the variance.