Median

Median of a group of observation is the value which lies in the middle of the data (when arranged in an ascending or descending order) with half of the observations above it and the other half below it.

● When the number of observations (n) is odd.

Then, median is (n + 1)/2 th observation.

● When the number of observations (n) is even.

Then median is the mean of (n/2)th and (n + 1/2)th observation.

i.e., Median =
Median

Let us observe the following solved problems using step-by-step explanation.


Worked-out examples on median:

1. Find the median of the data 25, 37, 47, 18, 19, 26, 36.

Solution:

Arranging the data in ascending order, we get 18, 19, 25, 26, 36, 37, 47

Here, the number of observations is odd, i.e., 7.

Therefore, median = (n + 1/2)th observation.

                         = (7 + 1/2)th observation.

                         = (8/2)th observation

                         = 4th observation.

4th observation is 26.

Therefore, median of the data is 26.


2. Find the median of the data 24, 33, 30, 22, 21, 25, 34, 27.

Solution:

Here, the number of observations is even, i.e., 8.

Arranging the data in ascending order, we get 21, 22, 24, 25, 27, 30, 33, 34

Therefore, median = {(n/2)th observation + (n + 1/2)th observation}/2

                         = (8/2)th observation + (8/2 + 1)th observation

                         = 4th observation + (4 + 1)th observation

                         = {25 + 27}/2

                         = 52/2

                         = 26

Therefore, the median of the given data is 26.

● Statistics


From Median to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

Share this page: What’s this?

Recent Articles

RSS

  1. Worksheet on Measurement of Capacity | Measuring Capacity Worksheets

    May 01, 24 05:27 PM

    Measurement of Capacity
    In worksheet on measurement of capacity, all grade students can practice the questions on units for measuring capacity. This exercise sheet on measurements can be practiced by the students to get more

    Read More

  2. Conversion of Standard Unit of Capacity | Unit of Capacity | Problems

    May 01, 24 04:42 PM

    For the conversion of standard unit of capacity it’s very important to know the relationship between the different units of capacity. We know, one litre = 1000 millilitre 1000 millilitre = 1 litre

    Read More

  3. Conversion of Measuring Length | Conversion of Length | Length Convers

    May 01, 24 02:57 PM

    Conversion of Measuring Length
    In conversion of measuring length we will learn how to convert meters into centimeters, kilometers into meters, centimeters into meters and meters into kilometers. To convert meters into centimeters…

    Read More

  4. Conversion of Measuring Mass | Conversion of Kilograms into Grams | kg

    May 01, 24 02:45 PM

    In conversion of measuring mass we will learn how to convert kilograms into grams, grams into kilograms, kilograms & grams into grams and grams into kilograms & grams. Conversion of kilograms

    Read More

  5. Unit of Mass or Weight | Unit Weights for Measuring | Common Balance

    Apr 30, 24 05:38 PM

    Measuring Weight
    We know the main standard unit of mass or weight is kilogram which we write in short as ‘kg’. 1000th part of this kilogram is gram which is written in short as ‘g’.

    Read More