Standard Deviation Standard Deviation tandard deviation is defined in terms of measure of how to spread out numbers. It is widely used as measure of variability or diversity used in statistics and probability theory. A low standard deviation indicates that the data points tends to be very close to the mean value and the high standard deviation shows that data points are spread out over a large range of values. The standard deviation of statistical population, data set or probability distribution is the square root of its variance. We use sigma â€˜?' symbol to represent standard deviations. The sigma is a Greek letter. The standard deviation is useful comparing data which may have the same mean but the range is different. Let's have an example to understand it, 15, 15, 14, 15, 16, and 2, 7, 14, 22, 30. By seeing we can say that second is more spread out. If we have a low standard deviation, the values are not spread out too much.
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To do automatic calculation you can use Standard Deviation Calculator, it will solve all types of standard deviation problems After standard deviation let's move on the other topics that is statistics. It deals with the collection of information from raw data. Sometimes data contains some randomness or uncertainty. To understand statistics we need to understand few things like, mean mode, median and range. You all are aware of mean, not getting my point, you all know average, right. Mean is average only, You all know how to calculate mean. For calculating mean just add all the terms and divide it by total number of items present in the list. For calculating median first arrange all the numbers in increasing order and then calculate. In odd numbers the median is the middle term and in case of even number it is average of middle two terms. Mode is that number which is repeated again and again. and range is generally the difference between the smallest and the largest number. You can take Statistics Help to understand it more properly and in detail. With statistics help and Standard Deviation Calculator a tool named as Algebra Solver, is also present in online help using this tool you can overcome different types of algebraic problems. In algebra solver all types of problems can be solved either they are related to simple interest, compound interest, probability or any other algebra topic.
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Example 1 :- Find the standard deviation of the following values 2, 3, 4, 5, 6 Solution :- We first find the arithmetic mean of the values. Then we find the deviation of each item from the mean. Find the squares of the deviations and add them. Then divide the sum by the number of items in the series and take the square root. Example 1 :- Find the standard deviation of the following values 2, 3, 4, 5, 6 Solution :- We first find the arithmetic mean of the values. Then we find the deviation of each item from the mean. Find the squares of the deviations and add them. Then divide the sum by the number of items in the series and take the square root.
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Published on Jun 1, 2012
We use sigma ‘?' symbol to represent standard deviations. The sigma is a Greek letter. The standard deviation is useful comparing data which...