 Hello and welcome to the session I am Deepika here. Let's discuss a question which says the following data gives the distribution of total monthly household expenditure of 200 families of a village, find the modal monthly expenditure of the families also find the mean monthly expenditure. The monthly expenditure in rupees is from 1000 to 1500 number of families is 24 if the expenditure is 1500 to 2000 number of families is 40, 2000 to 2500, 33, 2500 to 3028, 3000 to 3530, 3500 to 4022, 4000 to 4500, 16 and 4500 to 5000, 7. Now we know that mean is given by the formula mean x bar is equal to sigma fi xi upon sigma fi is the frequency of the ith class is the midpoint of the ith class is the class with maximum frequency the mode is a value inside the modal class and is given by the formula mode is equal to 0 upon f1 minus f0 minus f2 into h where lower limit of the modal class is the size of the class interval is the frequency of the modal class 0 is the frequency preceding the modal class is a frequency of the class succeeding the modal class this is a key idea behind our 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 the expenditure in rupees and the number of families now if the expenditure is 1000 to 1500 number of families is 24 and if the expenditure is 1500 to 2000 number of families is 40 if the expenditure is 2000 to 2500 number of families is 33 and between 2500 to 3000 it is 28 and 3000 to 3500 it is 3500 2000 it is 22 and 4000 to 4500 it is 16 and 4500 5000 it is 7 column for class mark that is which is given by lower limit plus upper limit upon 2 now 1000 plus 1500 upon 2 is equal to 1250 similarly 1500 plus 2000 upon 2 is 1750 now we will make a column for Xi which is the upper class limit plus lower class limit upon 2 mark is 4750 expenditure 1662 point formula mode is equal to 1000 that is modal class is 14 minus 24 equal to rupees 183 our question is modal monthly expenditure equal to rupees 1847 point monthly expenditure equal to rupees 266 2.5 so this is our answer I hope the solution is clear to you bye and take care