Mean Median Mode Calculator
Mean, median and mode are all measures of central tendency in statistics
What is Mean Median Mode Calculator?
Cuemath's Mean Median Mode Calculator is an online tool that helps to calculate the mean, median, and mode for the given numbers. This online Mean Median Mode Calculator helps you to calculate the mean, median, and mode for the given numbers in a few seconds.
How to Use Mean Median Mode Calculator?
Please follow the steps below to find the mean, median, and mode 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 mode for the given numbers.
 Step 3: Click on the "Reset" button to clear the fields and find the mean, median, and mode for the different numbers.
How to Find Mean Median Mode?
The mean or average of a given data is defined as the sum of all observations (obs.) 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} are different n terms
The median is defined as the value of the observation in the middle obtained after arranging the data in an 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 = \(\frac{\frac{n}{2} \text { obs. }+\left(\frac{n}{2}+1\right)^{t h} \text { obs. }}{2}\)
Mode for ungrouped data is found by selecting the most frequent item on the list.
Solved examples on mean, median, and mode

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
= 57/6
= 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 a given data set is 3.

Solved Example 3:
Find the mode for the following set of data: {14,15,16,15,17,15,18}
Solution:
Since there is only one value repeating itself, it is a unimodal list.
Therefore, Mode = {15}
Similarly,
For a bimodal list: {85,86,88,88,91,90,86,92,95}, mode = {86,88}
For the data set: {7,7,8,8,8,9,10,12,12,14,15}, mode = {8}
Similarly, you can try the calculator to find the mean, median, and mode for the following:
 21, 14, 16, 8, 2, 4, 15, 8
 25, 1, 7, 15, 6, 14, 14, 25, 7