The mean marks obtained in an examination by a group of 100 students were found to be 49.46 the mean marks obtained in same examination by a group of 200 students were 52.32 find out mean of marks obtained by both the groups together
Mean*total=49.46*100+52.32*200=15410 and total is 300
mean=51.37
utility any object or circumstance can be considered.
To find the mean of marks obtained by both groups together, we need to calculate the combined mean.
Step 1: Calculate the total marks obtained by the first group.
Total marks obtained by the first group = Mean marks obtained by the first group * Total number of students in the first group
= 49.46 * 100
= 4946
Step 2: Calculate the total marks obtained by the second group.
Total marks obtained by the second group = Mean marks obtained by the second group * Total number of students in the second group
= 52.32 * 200
= 10464
Step 3: Calculate the total marks obtained by both groups together.
Total marks obtained by both groups together = Total marks obtained by the first group + Total marks obtained by the second group
= 4946 + 10464
= 15410
Step 4: Calculate the combined mean.
Mean of marks obtained by both groups together = Total marks obtained by both groups together / Total number of students in both groups
= 15410 / (100 + 200)
= 15410 / 300
= 51.37
Therefore, the mean of marks obtained by both groups together is 51.37.
To find the mean of the marks obtained by both groups together, you need to calculate the total marks obtained by both groups and divide it by the total number of students.
Let's calculate the total marks obtained by each group:
For the first group of 100 students, the mean marks obtained is given as 49.46. So, the total marks obtained by this group can be calculated by multiplying the mean by the number of students:
Total marks for Group 1 = Mean marks * Number of students = 49.46 * 100
Similarly, for the second group of 200 students, the mean marks obtained is given as 52.32. So, the total marks obtained by this group can be calculated as:
Total marks for Group 2 = Mean marks * Number of students = 52.32 * 200
Now, to find the total marks obtained by both groups combined, you simply need to add the total marks of each group together:
Total marks obtained by both groups = Total marks for Group 1 + Total marks for Group 2
Finally, to find the mean marks obtained by both groups together, divide the total marks obtained by both groups by the total number of students (which is the sum of the number of students in each group, i.e., 100 + 200):
Mean marks obtained by both groups together = Total marks obtained by both groups / (Number of students in Group 1 + Number of students in Group 2)
Now, plug in the values and calculate to find the answer.