 Hello and welcome to the session I am Deepika here, let's discuss the question which says a student noted the number of cars passing through his car on a road for 100 periods each of 3 minutes and summarise it in the table given below, find the mode of the data. Now number of cars is 0 to 10 and its frequency is 7, if number of cars is 10 to 20 its frequency is 14, for 20 to 30 it is 13, for 30 to 40 it is 12, for 40 to 50 it is 20, for 50 to 60 it is 11, for 60 to 70 it is 15 and for 70 to 80 it is 8. Find mode, we first locate a class with the maximum frequency called the model class and the mode is the value inside the model class and is given by the formula mode is equal to 0 upon 0 minus FH where the class interval is the frequency of the model class, is the frequency of the class, is the frequency of the class succeeding the model class. This is our key idea for the above question, we will take the help of this key idea to solve the above question. So let's start the solution. Now we are given number of cars and its frequency that is F5 is given to us is 0 to 10 then the frequency is 7, for 10 to 20 it is 14, for 20 to 30 it is 13, for 30 to 40 it is 12, for 40 to 50 it is 20 and for 50 to 60 it is 11 and for 60 to 70 it is 15 and for 70 to 80 it is 8. This table we see is 20 corresponding to maximum frequency is 40 to 50, 40 to 50 is equal to which is lower limit of the model class is 40 which is the size of the class interval, the frequency of the model class is 20. Now in the model class the frequency of the class is 11. We will substitute these values in the formula given by mode is equal to 0 upon 0 minus F is equal to 20 minus 12 upon 20 minus 11 into this is equal to 40, 40 minus 23 this is equal to 17 this is again equal to 40 plus now 8 upon 17 is 0.47 into 10 and this is again equal to 40 plus now 0.47 multiplied by 10 is 4.7, so this is 44.7 therefore given data is equal to 44.7 cars hence the answer for the above question is mode is equal to 44.7 cars. I hope the solution is clear to you. Bye and take care.