 Hello and welcome to the session. My name is Mansi and I am going to help you with the following question. The question says the following is the record of goals scored by team A in a football session. In the first row we have number of goals scored there are 0, 1, 2, 3 and 4. In the second row we have number of matches that is 1, 9, 7, 5, 3. Now for the team B mean number of goals scored per match was 2 with the standard deviation 1.25 goals find which team may be considered more consistent. So let us start with the solution to this question. We see that first of all we find out the coefficient of variation for team A and team B. We have to find out coefficient of variation of goals of both the teams then whichever is lesser will be more consistent. So coefficient of variation of whichever team will be lesser that team will be more consistent. So first of all let us make a table like this. Here we consider number of goals as exercise and number of matches as FIs. So from the question we can see that in the first column we will have 0, 1, 10 column we have 1, 9, 7, 5 and 3. Now in the table what we need to calculate is Xi square Fi square will be 0, 1, 4, 9 and 16. Now Fi into Xi will be 0, 9, 7, 2s are 14, 5, 3s are 15, 4, 3s are 12. Then we need to calculate Fi Xi square that will be 1 into 0 is 0, 9 into 1 is 9, 7 into 4 is 28, 5 into 9 is 45 and 16 into 3 is 48. Now we sum up Fi is that is 25. We sum up Fi Xi that is 50 and Fi Xi square is 130. Submission Fi Xi divided by submission Fi that is also X bar. We also call mean as X bar that is equal to now submission Fi Xi is 50 and submission Fi is 25. We see that standard deviation that is equal to sigma is equal to 1 divided by submission Fi into square root of submission Fi into submission Fi Xi square submission Fi Xi the whole square. Now this is a general formula for standard deviation where I varies from 1 to n. So here we have I varying from 1 to n. Now we simply put in the values here. We see that submission of Fi is 25. So we have 1 divided by 25 into square root of 25 into submission Fi Xi square that is 130. So 25 into 130 minus this is 50 minus 50. This is equal to 1 divided by 25 into square root of common from these to the square root that becomes Fi because square root of 25 is 5 and inside 100. Now we can find out the coefficient variation for team A divided by 295 divided by 2 multiplied by 100 that is same as 5 divided by 254.75. Coefficient of variation so for team B mean submission that is SD is also given to be 1.25. Therefore coefficient of variation for team B is sigma divided by mean multiplied by 100 that is equal to 1.25 divided by 2 multiplied by 100 that is 125 by 2 equal to 62.5. Therefore we say that coefficient of variation of goals of team A is less than that of team B. Therefore chill and enjoy the session. Have a good day.