Mean Median Standard Deviation Calculator
Cuemath's Mean Median Standard Deviation Calculator is an online tool that helps to calculate the mean, median, and standard deviation for the given numbers.
What is Mean Median Standard Deviation Calculator?
Cuemath's online Mean Median Standard Deviation Calculator helps you to calculate the mean, median, and standard deviation for the given numbers in a few seconds.
Note: Enter values inside the bracket, separated by a comma
How to Use Mean Median Standard Deviation Calculator?
Please follow the steps below to find the mean, median, and standard deviation for the given numbers:
 Step 1: Enter the numbers in the given input box.
 Step 2: Click on the "Calculate" button to find the mean, median, and standard deviation for the given numbers.
 Step 3: Click on the "Reset" button to clear the fields and find the mean, median, and standard deviation for the different numbers.
How to Find Mean Median Standard Deviation Calculator?
The mean or average of a given data is defined as the sum of all observations divided by the number of observations. The mean is calculated using the formula:
Mean or Average = (x_{1} + x_{2} + x_{3}...+ x_{n}) / n , where n = total number of terms, x_{1},_{ }x_{2},_{ }x_{3}, . . . , x_{n} = Different n terms
The median is defined as the value of the middlemost observation obtained after arranging the data in ascending order. To find the median of a given set of values.
If n is odd, then use the formula:
Median = \(\left(\frac{n+1}{2}\right)^{t h} \mathrm{obs}\)
If n is even, then use the formula:
Median = \(\frac{\frac{n}{2} \text { obs. }+\left(\frac{n}{2}+1\right)^{t h} \text { obs. }}{2}\)
Standard deviation is commonly denoted as SD, and it tells about the value that how much it has deviated from the mean value.
Standard deviation = √(∑(x_{i}  x)^{2} / (N  1)),
where x_{i} is individual values in the sample, and x is the mean or an average of the sample, N is the numbers of terms in the sample.

Solved Example 1:
Find the mean of 2,8,11,25,4,7
Solution:
The mean formula is given as (x_{1} + x_{2} + x_{3}...+ x_{n}) / n
= (2 + 8 + 11 + 25 + 4 + 7) / 6
= 9.5

Solved Example 2:
Find the median for the dataset: {1,2,2,3,4,3,3}
Solution:
Arrange the data set in ascending order: {1,2,2,3,3,3,4}
Number of terms = 7, which is odd
Median = middle value i.e. 4th.
Since the fourth value in the data set is 3. Thus, median = 3
Therefore, the median of the given data set is 3.

Solved Example 3:
Find the standard deviation for the following set of data: {51,38,79,46,57}
Solution:
Given N =5
Standard deviation = √(∑(x_{i}  x)^{2} / (N  1))
Mean(x) = 51 + 38 + 79 + 46 + 57 / 5 = 54.2
Standard deviation = √(51 − 54.2)^{2} + (38 − 54.2)^{2} + (79 − 54.2)^{2} + (46 − 54.2)^{2} + (57 − 54.2)^{2} / (5  1)
= 15.5
Therefore, the standard deviation is 15.5
Similarly, you can try the calculator to find the mean, median, and standard deviation for the following:
a) 21,14,16,8,2,4,15,8
b) 25,1,7,15,6,14,14,25,7