What is standard deviation in statistics?
An example of an AI chatbot conversation about standard deviation in statistics.
What is standard deviation in statistics?
Standard deviation is a measure of the amount of variation or dispersion in a set of values.
How is it calculated?
To calculate standard deviation, you find the square root of the variance, which is the average of the squared differences from the mean.
Can you give me an example?
Sure! If you have the data set: 2, 4, 4, 4, 5, 5, 7, 9, the mean is 5. The squared differences from the mean are 9, 1, 1, 1, 0, 0, 4, 16. The variance is the average of these, and the standard deviation is the square root of the variance.
What does a high standard deviation indicate?
A high standard deviation indicates that the data points are spread out over a wider range of values, showing more variability.
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