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.