Thursday 2 February 2012

Math Blog on Median

In reference with data handling to be studied in Grade VIII  of CBSE math Syllabus today we are going to learn about median.
We have already learned about math questions on mean, which help us to find the average of the given collection of data.
As you have studied earlier that the raw data collected is to be arranged in the ascending or descending order in order to retrieve some information from it.
In this Blog we will discuss about median in math. Median is the mid value of the collected data. Suppose we have collected the age of 5 teachers in the school.
They are 35, 24, 45, 22 and 36.(Know more about Median in broad manner here,)
 To find the median, we will first arrange this data in ascending order:
We get:
  22, 24, 35, 36 45
We observe that 35 is the median.
Now we look at the data when the number of data is even, in such cases we select middle two terms of the data.
Then we find the average of these two values.
To sum up, we produce the formula for the same:
To find the median, the following steps are to be followed:
1. Arrange the data in ascending order; let the number of entries be n
2. Then we will find if the number of entries is even or odd
3 If the number of entries is odd then
    Median = (n+1) / 2 th term
And if the number of terms is even then
    Median = [ (n/2) th term + (n/2) +1th term ] /2
 So children we first check the number of entries in the given set of raw data and then accordingly proceed to find the median.

In the next blog we are going to discuss Mode in Grade VIII and if anyone want to know about How to calculate Median in grade 9th then they can refer to Internet and text books for understanding it more precisely and also know about some interesting questions like is square root of 7 a rational number.

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