What is Median Math

Introduction to median in math:
In math,Median is nothing but the middle number in a sequence of numbers.To find the Median, set the numbers we are given in value order and find the middle number.For Example: Find the Median of {16, 23 , 10 , 11 , 26 , 13 and 15}. Put them in ascending order first: {10, 11, 13 , 15 ,16 ,23 ,26}, the middle number is 15, therefore the median is 15.


What is median math?

The median is the middle value of the distribution that is the median of a distribution is the value of the variable which divides it into two equal parts. It is nothing but the value of the given variable such that the number of annotations above it is equal to the number of annotations below it.

Median of a group or continuous frequency distribution = l+ ((n/2)-c*f)/f)*h

Where,

l indicates lower limit of the median class

n indicates number of observations.

f indicates frequency of median class.

h indicates size of the median class.

cf indicates cumulative frequency of the class preceding the median class.

I have recently faced lot of problem while learning Statistics Calculator, But thank to online resources of math which helped me to learn myself easily on net.

Example problems - What is median math?


Example 1:

Find the median of the following: 89, 39, 71, 28, 46, 68, 41, 71, 30, and 54

Solution:

Arrange the given sequence in the ascending order.

28, 30, 39, 41, 46, 54, 68, 71, 71, 89
we know that Median = Middle score-most score
Median = (46+54/2)

Median =100/2
Median = 50

Example 2:

Find the median of prime numbers between 46 and 84.

Solution:

The prime numbers between 46 and 84 are 47, 53, 59, 61, 67, 71, 73, 79, 83
Median = Middle-most score
Median = 67

Example 3:

Find the median of the first 8 even numbers.

Solution:

The first 8 even numbers are {2, 4, 6, 8, 10, 12, 14, and 16}

Arrange the given sequence in the ascending order.

{2, 4, 6, 8, 10, 12, 14, and 16}

We know that Median = Middle score-most score

Median = (8+10)/2.

= 18/2.

= 9.

Median of grouped data- What is median math?
Example 4:

The distribution shown below gives the marks 50 of students in a class. Find the median Mark of the students.

Mark       Number of Student

0 -10           2

10 -20        12

20 - 30       22

30 – 40       8

40 - 50        6

Solution:

Marks (C. I.)     f       c.f

0 -10                  2       2

10 -20               12      14

20 - 30              22     36?

30 - 40              8        44

40 - 50              6        50

Here n / 2 = 50 / 2 = 25

So, 20 -30 will be the median class.

Now, l =20

h = 10

c.f = 14

f = 22

Median = 20 + [(25 - 14) / 22] x 10

= 20 + (11 / 22) x 10

= 20 + 5

= 25

This indicates 50% of the students got less than 25 marks and the other 50% got more than 25 marks.