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In a class of 50 students, 20 students had an average score of 70 and remaining had an average score of 50. What is the average score of the class?
- a)70
- b)85
- c)58
- d)20
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
In a class of 50 students, 20 students had an average score of 70 and ...
Total number of students = 50
20 students had an average score of 70
∴ Total score of these 20 students
= Average score × Number of students
= 70 × 20 = 1400
Remaining number of students = 50 – 20 = 30
Remainingstudents had an average score of 50
∴ Total score of these 30 students
= Average score × Number of students
= 50 × 30 = 1500
∴ Sum of scoresof these 50 students = 1400 + 1500 = 2900
∴ Average score of these 50 students
= Sum total of these 50 students/50 = 2900/50 = 58
20 students had an average score of 70
∴ Total score of these 20 students
= Average score × Number of students
= 70 × 20 = 1400
Remaining number of students = 50 – 20 = 30
Remainingstudents had an average score of 50
∴ Total score of these 30 students
= Average score × Number of students
= 50 × 30 = 1500
∴ Sum of scoresof these 50 students = 1400 + 1500 = 2900
∴ Average score of these 50 students
= Sum total of these 50 students/50 = 2900/50 = 58
Most Upvoted Answer
In a class of 50 students, 20 students had an average score of 70 and ...
Let's break down the problem step by step to find the average score of the class.
Step 1: Calculate the total marks for the students with an average score of 70.
We are given that 20 students had an average score of 70. So, the total marks obtained by these students can be calculated by multiplying the average score (70) by the number of students (20):
Total marks for these students = 70 * 20 = 1400
Step 2: Calculate the total marks for the remaining students with an average score of 50.
The remaining students would be 50 - 20 = 30 students.
Similarly, we can calculate the total marks obtained by these students:
Total marks for these students = 50 * 30 = 1500
Step 3: Calculate the total marks for the entire class.
Since we have calculated the total marks for both groups of students separately, we can add them together to find the total marks for the entire class:
Total marks for the class = Total marks for students with average score of 70 + Total marks for students with average score of 50
Total marks for the class = 1400 + 1500 = 2900
Step 4: Calculate the average score of the class.
To find the average score of the class, we divide the total marks for the class by the total number of students (50):
Average score of the class = Total marks for the class / Total number of students
Average score of the class = 2900 / 50 = 58
Therefore, the average score of the class is 58. So, option C is the correct answer.
Step 1: Calculate the total marks for the students with an average score of 70.
We are given that 20 students had an average score of 70. So, the total marks obtained by these students can be calculated by multiplying the average score (70) by the number of students (20):
Total marks for these students = 70 * 20 = 1400
Step 2: Calculate the total marks for the remaining students with an average score of 50.
The remaining students would be 50 - 20 = 30 students.
Similarly, we can calculate the total marks obtained by these students:
Total marks for these students = 50 * 30 = 1500
Step 3: Calculate the total marks for the entire class.
Since we have calculated the total marks for both groups of students separately, we can add them together to find the total marks for the entire class:
Total marks for the class = Total marks for students with average score of 70 + Total marks for students with average score of 50
Total marks for the class = 1400 + 1500 = 2900
Step 4: Calculate the average score of the class.
To find the average score of the class, we divide the total marks for the class by the total number of students (50):
Average score of the class = Total marks for the class / Total number of students
Average score of the class = 2900 / 50 = 58
Therefore, the average score of the class is 58. So, option C is the correct answer.
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In a class of 50 students, 20 students had an average score of 70 and remaining had an average score of 50. What is the average score of the class?a)70b)85c)58d)20Correct answer is option 'C'. Can you explain this answer?
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