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If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is:
- a)53.33
- b)54.68
- c)55
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
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Given:
- Average marks of the first batch of 55 students is 50.
- Average marks of the second batch of 60 students is 55.
- Average marks of the third batch of 45 students is 60.
To find:
- Average marks of all the students.
Let's calculate the sum of marks for each batch using the formula:
Sum of marks = Average marks * Number of students
For the first batch:
Sum of marks for the first batch = 50 * 55 = 2750
For the second batch:
Sum of marks for the second batch = 55 * 60 = 3300
For the third batch:
Sum of marks for the third batch = 60 * 45 = 2700
Now, let's calculate the total sum of marks for all the students by adding the sum of marks of each batch:
Total sum of marks = Sum of marks for the first batch + Sum of marks for the second batch + Sum of marks for the third batch
= 2750 + 3300 + 2700 = 8750
To find the average marks of all the students, we divide the total sum of marks by the total number of students:
Average marks of all the students = Total sum of marks / Total number of students
= 8750 / (55 + 60 + 45)
= 8750 / 160
= 54.68
Therefore, the average marks of all the students is 54.68.
Hence, option B is the correct answer.
- Average marks of the first batch of 55 students is 50.
- Average marks of the second batch of 60 students is 55.
- Average marks of the third batch of 45 students is 60.
To find:
- Average marks of all the students.
Let's calculate the sum of marks for each batch using the formula:
Sum of marks = Average marks * Number of students
For the first batch:
Sum of marks for the first batch = 50 * 55 = 2750
For the second batch:
Sum of marks for the second batch = 55 * 60 = 3300
For the third batch:
Sum of marks for the third batch = 60 * 45 = 2700
Now, let's calculate the total sum of marks for all the students by adding the sum of marks of each batch:
Total sum of marks = Sum of marks for the first batch + Sum of marks for the second batch + Sum of marks for the third batch
= 2750 + 3300 + 2700 = 8750
To find the average marks of all the students, we divide the total sum of marks by the total number of students:
Average marks of all the students = Total sum of marks / Total number of students
= 8750 / (55 + 60 + 45)
= 8750 / 160
= 54.68
Therefore, the average marks of all the students is 54.68.
Hence, option B is the correct answer.
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If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is:a)53.33b)54.68c)55d)None of theseCorrect answer is option 'B'. Can you explain this answer?
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