Maths Class 11 Chapter 15. Statistics | Page 5

Mode : Let ’ s check the most frequent score . Based on the most often score , 8 is the most often score ( 2 times ) for Mary & 10 is the most often score ( 3 times ) for Hari . Going with the most often score or Mode , Hari has performed better .
The mode is that value of the observation which occurs most frequently , i . e ., an observation with the maximum frequency is called the mode . E . g . it can be used to find the which is the most favourite subject of a class .
Numerical : In a mathematics test given to 15 students , following marks are recorded : 41 , 39 , 48 , 52 , 46 , 62 , 54 , 40 , 96 , 52 , 98 , 40 , 42 , 52 , 60 . Find the mean , median and mode of this data .
Mean is average data , Median is middle most data & Mode is the most frequent data .
Mean = Sum of all observations / number of observations = ( 41 + 39 + 48 + 52 + 46 + 62 + 54 + 40 + 96 + 52 + 98 + 40 + 42 + 52 + 60 ) / 15 = 822 / 15 = 54.8
To find middle most data , we have to arrange data in ascending order & then find middle most .
Data in ascending order : 39 , 40 , 40 , 41 , 42 , 46 , 48 , 52 , 52 , 52 , 54 , 60 , 62 , 96 , 98 .