Yes, the SD could be greater than its mean, and this might indicates high variation between values, and abnormal distribution for data. 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.
What does it mean when standard deviation is higher than mean?
Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out. A standard deviation close to zero indicates that data points are close to the mean, whereas a high or low standard deviation indicates data points are respectively above or below the mean.
Why is my standard deviation so high?
Key Points A low standard deviation indicates that the data points tend to be very close to the mean; a high standard deviation indicates that the data points are spread out over a large range of values.
Does higher range mean higher standard deviation?
Good Ol Standard Deviation Standard deviation is a reliable method for determining how variable the data is for both a sample and a population. Just like the range, the larger the difference between the highest and lowest values, the greater the deviation and the higher the variability.
Is it better to have a higher standard deviation?
A high standard deviation shows that the data is widely spread (less reliable) and a low standard deviation shows that the data are clustered closely around the mean (more reliable).