what is the median in math

In statistics theory, the median is the middle value of the set of data after the arrangement of ascending or descending order. If the total of elements in a set is even then take the two middle elements (n and n+1) after the arrangement of the elements and find the average (n + (n+1))/2 which is the required median.

Median in Math – Example Problems

Example 1: In a class nine students’ marks as follows 28, 37, 45, 98, 76, 71, 65, 49, and 58. What is the median?

Solution:

Arrange the elements of a data set in ascending order {28, 37, 45, 49, 58, 65, 71, 76, 98}

Median:

{28, 37, 45, 49, 58, 65, 71, 76, 98}

Total number of elements in a data set is 9 which is an odd number. So find the middle number which is the median.

Here, 58 is the middle value.

Therefore 58 is the median.

Having problem with Finding Median keep reading my upcoming posts, i will try to help you.

Example 2: In a class ten students’ weights as follows 36, 42, 54, 68, 72, 67, 49, 57, 62, and 74}. What is the median?

Solution:

Arrange the elements of a data set in ascending order {36, 42, 49, 54, 57, 62, 67, 68, 72, 74}

Median:

{36, 42, 49, 54, 57, 62, 67, 68, 72, 74}

Total number of elements in a data set is 10 which is an even number.

Divide 10 by 2

10 / 2 = 5 = n

So take the 5th (n) and 6th (n+1) elements and find the average.

(57 + 62) / 2 = 59.5

Therefore 59.5 is the median.

Example 3: Ten students’ height in a class as follows 157, 157, 178, 160, 120, 146, 165, 135, 182, and 184. What is the median?

Solution:

Arrange the elements of a data set in ascending order {120, 135, 146, 157, 157, 160, 165, 178, 182, 184}.

Median:

{120, 135, 146, 157, 157, 160, 165, 178, 182, 184}

Total number of elements in a data set is 10 which is an even number.

Divide 10 by 2

10/12 = 5 = n

So take the 5th (n) and 6th (n+1) elements and find the average.

(157 + 160) / 2 = 158.5

Therefore 158.5 is the median.

Between, if you have problem on these topics Average Calculator, please browse expert math related websites for more help on math 5th grade word problems.

Median in Math – Practice Problems

Problem 1: Ten students’ weight in a class as follows 56, 42, 64, 72, 89, 79, 56, 61, 65, and 56. What is the median?

Answer: Median: 62.5

Problem 2: Nine students’ height in a class as follows 165, 146, 170, 140, 162, 137, 193, 179, and 160. What is the median?

Answer: Median: 162