# Find the range and standard deviation of the set of data.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. There are various parameters by which a set of data is analyzed; like mean, median, mode, and variance.

## Answer: The range of a set of data is the difference between the max and min values, and the standard deviation of the data is the square root of its variance.

Let's understand the problem

**Explanation: **

The range is the difference between the lowest and highest values in a given set.

For example, in the set {4, 9, 2, 3, 7}, the range is 9 - 2 = 7

The Standard Deviation is the square root of the variance.

You can also use the standard deviation calculator and variance calculator.

Hence, in the same data, to find the variance:

First we find the mean, which is equal to (4 + 9 + 2 + 3 + 7)/5 = 5

Hence, the variance is: [(4-5)^{2} + (9-5)^{2} + (2-5)^{2} + (3-5)^{2} + (7-5)^{2}] / 5 = [1 + 16 + 9 + 4 + 4] / 5 = 34/ 5 = 6.9

Therefore, the standard deviation is √6.9, which is 2.62.

### Hence, the range of a set of data is the difference between the max and min values, and the standard deviation of the data is the square root of its variance.

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