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. Quarter Past and Quarter To | Quarter Past Hour | Quarter to Next Hour

    Nov 22, 24 01:00 AM

    Quarter Past and Quarter To
    The hands of clock move from left to right. This is called the clock wise motion. When the minute hand is on the right side of the clock, it shows the number of minutes past the hour. When the minute…

    Read More

  2. Time Duration |How to Calculate the Time Duration (in Hours & Minutes)

    Nov 22, 24 12:34 AM

    Time Duration Example
    Time duration tells us how long it takes for an activity to complete. We will learn how to calculate the time duration in minutes and in hours. Time Duration (in minutes) Ron and Clara play badminton…

    Read More

  3. 2nd grade math Worksheets | Free Math Worksheets | By Grade and Topic

    Nov 22, 24 12:12 AM

    2nd Grade Math Worksheet
    2nd grade math worksheets is carefully planned and thoughtfully presented on mathematics for the students.

    Read More

  4. 2nd Grade Measurement Worksheet | Measuring Length, Mass and Volume

    Nov 20, 24 12:50 AM

    In 2nd Grade Measurement Worksheet you will get different types of questions on measurement of length, measurement of weight (mass), measurement of capacity (volume), addition of length, addition of w…

    Read More

  5. 2nd Grade Fractions Worksheet | Basic Concept of Fractions | Answers

    Nov 20, 24 12:16 AM

    Divide the Collection into 4 Equal Parts
    In 2nd Grade Fractions Worksheet we will solve different types of problems on fractions, one-whole, one-half, one-third, one-fourth, three-fourth or s quarter. In a fraction, it is important that the…

    Read More