**The standard deviation indicates how much the ability estimates are spread out for a group of students. The higher the number, the more diverse the instructional levels are within that group; the lower the number, the more the students are alike.**

## What Does Standard Deviation Mean for Grades?

What does Standard Deviation Mean for Grades? The standard deviation is a statistic that measures the dispersion of a dataset relative to its mean. In other words, it tells you how spread out your data is.

The standard deviation is calculated by taking the square root of the variance. The variance is calculated by taking the average of the squared differences from the mean.

The standard deviation is a useful statistic because it allows you to compare data sets that have different means. For example, imagine that you have two classes with 20 students in each.

Class A has a mean of 80 and a standard deviation of 10. Class B has a mean of 60 and a standard deviation of 20. Which class is more spread out? The answer is Class B.

Even though the mean of Class A is higher, the standard deviation of Class B is larger, which means that the data is more spread out.

The standard deviation can also be used to calculate the range of a data set. The range is the difference between the highest and lowest values in a data set.

The standard deviation can be used to calculate the range because the range is equal to the standard deviation times four. So, if the standard deviation of a data set is 10, the

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