Class 11 Maths Statistics Numerical

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.

Middlemost data in this case is 52 & thus Median is 52.

 

Also we see that most frequent data is 52 & thus mode is 52.

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