Maths Class 11 Chapter 15. Statistics | Page 6

Middlemost data in this case is 52 & thus Median is 52 . Also we see that most frequent data is 52 & thus mode is 52 . Application of Mean , Median & Mode Mean , median & mode shows different perspective of same data .
Mean gives average of the data . All data is given equal importance . It is used in case where all data is important . E . g . Average salary of employees in an organization
Median is used to find middle most data . It is used to determine a point from where 50 % of data is more & 50 % data is less . It is used where extreme cases can be ignored . E . g . To find the performance of a cricketer where his worst & best extreme performance can be ignored to give his consistent performance .
Mode is used where we need to find the most frequent data . E . g . if we need to find the most favourite Subject of students in a given class , mode can be used .
Mean , Median , Mode are not sufficient to represent data Consider the performance of 2 crickets , we need to find how is better ?
In this case mean , median , mode is not helping to find better score . Mean , Median & mode has same value 50 . We can see from the score that Red player is more consistent . Measure of dispersion will help here .