 other one welcome to the session let's discuss the following question it says if the mean of the following frequency distribution is 8 find the value of p. So let's now move on to the solution. Now we know that the mean denoted by x bar is given by the formula summation f i x i upon summation f i right now here mean is known to us it is given to be 8 so using this we'll find the value of p to use this we need to find summation f i x i and summation f i so let's first pick a table now we'll find f i x i now 3 into 6 is 18 5 into 8 is 40 7 into 15 is 1 0 5 9 into p is 9 p 11 into 8 is 88 13 into 4 is 52 first of all we have to find summation f i that is we have to find sum of all these frequencies 6 plus 8 is 14 14 plus 15 is 29 29 plus 8 is 37 37 plus 4 is 41 plus p and here we have to find summation f i x i that is we have to find sum of all these the sum is equal to 303 plus 9 p mean x bar is equal to 50 is equal to summation f i x i which is 303 plus 9 p upon summation f i which is 41 p 41 plus p so this implies 41 plus p into 50 is equal to 303 plus 9 p we are given that mean is 8 not 58 8 here 8 into 41 is 328 plus 8 into p is 8 p is equal to 303 plus 9 p so this implies 328 minus 303 is equal to 9 p minus 8 p 3 28 minus 303 is 25 and 8 p minus 9 p minus 8 p is p so p is equal to 25 and the value of p is 25 this completes the question and the session why for now take care have a good day