Median Calculator

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What Is a Median Calculator?

Median Calculator is a free online tool which calculates and displays the median of the given values or a set of data. Cuemath's online calculator helps you to calculate faster and gives you the result within a few seconds.

How to Use the Median Calculator?

Follow the steps given below to use the calculator:

  • Step 1: Enter the two or more values in the respective input boxes.
  • Step 2: Click on "Calculate" to find the median of those values.
  • Step 3: Click on "Reset" to clear the field and enter the new set of values.

How to Find Median of the Given Set of Values?

The value of the middlemost observation obtained after arranging the data in ascending order is called the median of the data. To find the median of  a given set of values, follow the steps given below:

  • Step 1: Arrange the values in ascending order.
  • Step 2: Count the number of values.
  • Step 3: Look for the middlemost value. This value is the median for the given dataset.

If n is odd, then use the formula: 

\(\left(\frac{n+1}{2}\right)^{t h} \mathrm{obs}\)

If n is even, then use the formula: 

\(\frac{\frac{n}{2} \text { obs. }+\left(\frac{n}{2}+1\right)^{t h} \text { obs. }}{2}\)


Solved Example:

Find the median for the dataset: {1,2,2,3,4,3,3}

Solution:

  • Step 1: Arrange the values in ascending order: {1,2,2,3,3,3,4}
  • Step 2: Count the number of values/observations: n=7
  • Step 3: Number of observations is odd. Thus, median = middle value i.e. 4th.

Since 4th value is 3. Thus, the median = 3

Therefore, the median of the given dataset = {3}

Now, you can use this calculator and find the median for the following set of values:

  • {120,133,146,109,112,111,140,134}
  • {200,230,225,220,219}
  • {56,55,56,70,68,56,70,67,68,69,81,72}

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