In the previous post we have discussed about How To Find The Range Of A Function and In today's session we are going to discuss about sample standard deviation calculator. In mathematics, sample standard deviation calculator is a online machine that is basically used to solve the standard deviation of the given data values form its mean. Those students are not know the concept of standard deviation can also use it very comfortably. This machine make the calculation so easy. In other word we can easily solve any standard problem using this calculator. Let’s understand some steps to solve standard deviation problem. (know more about standard deviation , here)
Step 1: First enter the data values in the text box.
Step 2: Then press the solve button to get the result.
In standard deviation calculator the formula defined to find standard deviation is give as:
σ= √ [(1 /N) ∑i (xi – μ)2
Step 3: ‘μ’ symbol shows mean values of data set. At last we have to write the final answer for standard deviation.
Let’s understand it with the help of small example:
Find the standard deviation for the given data values 10, 20, 30, 40.
Solution: To solve it we need to follow the above steps so that we can easily solve the standard deviation.
Step 1 : Formula to find standard deviation is given as σ = √[(1 / N) Σi (xi - μ) 2], here value of N = 4, so we find mean of given data values.
Step 1 : Formula to find standard deviation is given as σ = √[(1 / N) Σi (xi - μ) 2], here value of N = 4, so we find mean of given data values.
Mean = μ = 10 + 20 + 30 + 40;
μ = 100 / 4, μ = 25.
Step 2: Then find the value of (xi - μ)2, xi = the random variable, i.e. 10, 20, 30, 40;
Step 2: Then find the value of (xi - μ)2, xi = the random variable, i.e. 10, 20, 30, 40;
(10 - 25)2 = 225,
(20 - 25)2 = 25,
(30 - 25)2 = 25,
(40 - 25)2 = 225,
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= 500,
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Σ ( xi - μ )2 = 500,
Step 3 : Then the variance is given as: Variance = Σ ( xi - μ )2 / N,
Variance = 500 / 4, Variance = 125;
Standard deviation = σ = √[(1 / N) Σi (xi - μ)2]; put given values in formula to get answer. σ = √ [(1 / 4) 125],
Standard deviation = σ = √[(1 / N) Σi (xi - μ)2]; put given values in formula to get answer. σ = √ [(1 / 4) 125],
At last we get the value of standard deviation is 11.180.
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