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# Median Formula Class 10

The median formula class 10 represents the middle value when the data is arranged in ascending order. The middle value of the arranged set of numbers can be calculated by applying the median formula. For determining the measure of central tendency, we need to write the elements of the data group in increasing order. The median formula varies depending upon the number of observations and it differs if they are odd or even.

## List of Median Formula Class 10

The following median formulas will help students in determining the median of the given data.

- Median Formula for an Odd number of observations: The median formula of a given set of numbers, say 'n' odd number of observations, can be expressed as:

Median = [(n/2)th term + ((n/2) + 1)th term]/2

- Median Formula for an Even number of observations: The median formula of a given set of even numbers, can be expressed as:

Median = [(n + 1)/2]th term

## Applications of Median Formula Class 10

Median is an important statistical measure. Thus, median formula Class 10 is used in many routine calculations that help in representing a single value for a large number of data points. One such application is the representation of age of the students in a class by a single median value of the data. Here are some more uses of class 10 median formulas:

- The median formula is applied in the workplace to calculate the median salary that sets a reference. Median salary enables employees to identify the middle point of their salaries in their careers. It is also called the 50 percent income, which means half of the employees work above this median salary, while half of them work below it. This gives a sense of healthy competition and allows them to grow.
- Median formula is also applied to home budgeting and business calculations.
- These formulas help in determining the accurate value for various benchmarks. One of the major applications of the median formula is the estimation of the poverty line.

## Tips to Memorize Median Formulas Class 10

Here are some tips that can help students to memorize median formulas for Class 10.

- The students must make sure to understand the meaning of these terms first before moving ahead to memorize the median formulas. Seeking guidance from teachers will enable students to gain a proper grip on all concepts.
- They can also go through the derivation of these formulas to develop a rock-solid foundation as well as understand the underlying concepts.

- Setting median formula images as wallpaper on various devices will be beneficial in revising formulas while using smartphones, tablets and laptops.

- It is necessary that the students must practice a variety of questions based on median formulas to ensure a precise conceptual understanding of all important formulas.

## Median Formula Class 10 Examples

**Example: **Find the median of the data set {4, 16, 2, 24, 12, 35}.

**Solution:** When sorted in ascending order, it becomes {2, 4, 12, 16, 24, 35}.

In the given data set there are a total of 6 observations. Therefore, n = 6.

By applying the median formula for even observations we get,

Median = [(n/2)th term + ((n/2) + 1)th term]/2

Median = [(6/2)th term + ((6/2)th term + 1)]/2 = (3rd term + 4th term)/2

The 3rd term is 12.

The 4th term is 16.

On substituting the values in the median formula we get,

Median = (12 + 16)/2 = 28/2 = 14

The median is 14.

Students can download the printable **Maths Formulas Class 10** sheet from the link given below.

## FAQs On Median Formula Class 10

### What are the Important Median Formulas for Class 10?

Some of the most important median formulas class 10 are:

- Median Formula for an Odd number of observations: The median formula of a given set of numbers, say 'n' odd number of observations, can be expressed as:

Median = [(n/2)th term + ((n/2) + 1)th term]/2

- Median Formula for an Even number of observations: The median formula of a given set of even numbers, can be expressed as:

Median = [(n + 1)/2]th term

### What does ‘n’ Represent in the Median Formula Class 10?

'n' in median formula class 10 represents the number of observations. When 'n' represents an odd number of observations, then the median formula is [Median = {(n + 1)/2}th term]. When 'n' represents an even number of observations, then the median formula is [Median = ((n/2)th term + (n/2 + 1)th term)/2].

### How is Median Formula Class 10 Applied in Real Life?

The use of median formula class 10 can be seen in a wide variety of practical situations. The Median formula is used to represent the important statistical measure that helps in representing a single value for a large number of data points. An example of the real-life application of the median formula is in determining the height or the age of the students in a class by a single median value of the given data.

### What is the Median Formula for Ungrouped Data?

The median formula for ungrouped data is totally dependent on the number of observations (n). If the number of observations is odd then the median formula is [Median = {(n + 1)/2}th term]. If the number of observations is even then the median formula is [Median = ((n/2)th term + (n/2 + 1)th term)/2].

### Why is it Important to Practice Questions Based on the Median Formula Class 10?

Students should practice a wide variety of questions based on the median formula class 10 to reinforce the understanding of all core concepts used in statistics. By attempting all questions based on these formulas, students will develop excellent mathematical skills required for higher studies and competitive exams. Hence, students must practice all the questions based on the median formula.

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