Thursday 19 July 2012

Measures of Central Tendency Definition

Central Tendency Measure: It is such type of measure which helps us in locating the middle of group of data .Its Common measure are mean, mode and median

Measures definition:
1.      Mean: It is the most commonly used measure where we sum all numbers from the group of data and divide it by the count of numbers in the data group. In simple terms we call it as average too.
2.      Mode: It is most frequently occurring value in the set of data .It can be unimodal or bimodal or multimodal. .Unimodal is that where group of data has one mode and bimodal it has two modes
3.      Median: This values is the numbers which lies in the middle of data set when the group of data is arranged in the series of either ascending or descending numbers .In the case of even count of numbers median is calculated by calculating the mean value of the two middle numbers .This value divides the data set exactly into half .We cannot calculate median for qualitative data set. It calculation is only possible after sorting of the data
Understand the measures of central tendency definition with help of this solved example
Example: Find the central tendency of the data
6, 1, 3, 2, 5, 6, 6, 6, 9?
Solution: First we will calculate the mean,
6+1+3+2+5+6+6+6+9/9,
= 4.88.
So mean is 4.88.
Now calculate median by arranging the data in ascending order
1 , 2 , 3 , 5 6 , 6 , 6 , 6 , 9
Now apply the formula as
= (n+1/2)th,
= 10/2th,
5th term.
5th term is 6 so median is 6. (know more about Measures of Central Tendency Definition, here)

Mode is the most frequently occurring term in the series,
Here ‘6’ is the most repetitive term so mode will be ‘6’.



Get all information on physics important topic like types of waves and get all cbse sample papers 12 class on various online educational portals and In the next session we will discuss about simplifying trig expressions. 

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