Median Formula Class 9

Median is the middle value of the given number of observations, that divides it into exactly two parts. The concept of median holds great importance in analyzing and interpreting data present around us. Therefore, it is necessary that students have a clear understanding of all formulas and concepts covered in this topic. To make memorization of median formula class 9 easy this article provides a list of important formulas with relevant examples.

List of Median Formula Class 9

Students can refer to the list of formulas associated with median formula class 9 to learn and understand some important concepts.

• Mean is calculated by adding all the values of the given observations and then dividing them by the total number of observations.
• Median is the value of the observation that is situated in the middle. It can be expressed as [(n + 1)/2]th term
• 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

• Mode is the observation that occurs frequently.

Applications of Median Formula Class 9

To find the central tendency of the distribution of data, median is an excellent measure. Thus the use of median formulas is prominent in various important calculations. Here are some examples of the applications of median formula class 9:

• Median formula class 9 is applied to get an idea of the average salary of a country or city. It's usually the median that is used as a measure.
• These formulas are helpful in defining the accurate value for various benchmarks such as calculating the poverty line.
• Owing to the valuable contribution of statistical data in making important management decisions the use of median formula class 9 is prominent in business calculations.

Median Formula Class 9 Examples

Example 1: In class tenth, there are ten kids with the marks scored as below what is the average marks and Median marks scored in the class

Solution:

Average Marks = 90 + 80 + 15 + 60 +100 +10 + 0 +60 +100 +40 /10

= 55.5

To find Median first we need to arrange data in ascending order, i.e., 0, 10, 15, 40, 60, 60, 80, 90, 100, 100

Since the middle of this distribution is 60.

So, the Median is 60.

Example 2: Find the Median of the below distribution

8, 14, 23, 35, 45, 76,89, 90, 120, 200

Solution : Number of data points in the distribution = 10

Sorting the distribution = 8, 14, 23, 35, 45, 76, 89, 90, 120, 200

Locating the two points in middle = 45 and 76

Average of two mid-data points = 45+76/2

Median = 60.5

Tips to Memorize Median Formula Class 9

Students will find the below-mentioned tips helpful in memorizing median formula class 9:

• Students should gain a clear understanding of all concepts and terms used in the median formula before solving problems based on them. It will allow them to eliminate errors and confusion.

• Students are advised to practice a lot of problems based on the median formula to thoroughly understand each and every concept. This will help them build the right approach for utilizing the median formula class 9.

• Students can study with their peers to efficiently learn and memorize these formulas. Studying in groups promotes effective learning since each group member can assist others in resolving their doubts. Additionally, students will also get to learn various problem-solving strategies from each other’s perspectives which will be valuable in the long run.

• By using median formula class 9 formula images as backgrounds on their devices, students can use their mobiles and laptops to revise median formula class 9.

Students can download the printable Maths Formulas Class 9 sheet from below.