Here's how to solve this problem step-by-step:
1. Calculate the total score of the first group of students:
The average score of the first 12 students is 68. Therefore, their total score is \(12 \times 68 = 816\).
2. Calculate the total score of the remaining students:
There are 30 students in total, and 12 are in the first group, so there are \(30 - 12 = 18\) students in the second group. Their average score is 70, meaning their total score is \(18 \times 70 = 1260\).
3. Calculate the total score of the entire class:
The total score for the entire class is the sum of the scores of both groups: \(816 + 1260 = 2076\).
4. Calculate the average score of the entire class:
To find the average score, divide the total score by the total number of students: \(\frac{2076}{30} = 69.2\).
Therefore, the average score of the class is 69.2.
Similar Questions
- Find the mean marks of the following distribution.
Marks obtained No. of students 25 5 30 6 35 3 40 1 - The Table given below represents the ages of students in a private music school. What is the average age of the students?
Age Band Students 0 - 10 4 10 - 20 5 20 - 30 15 30 - 40 4 - Find the mean of the following numbers:
20, 18, 16, 25, 19, 22, 18, 16, 23, 14 - The average age of a family of 5 members is 20 years, with the youngest member being 5 years old. What was the average age (in years) of the family just before the birth of the youngest member?
- The average marks obtained by a group of 16 students was 20. One student left the group as a result of which the average of the remaining students rose to 21. But another student joined, as a result of which the average marks of the group dropped a bit and became 20.5. What was the average marks obtained by the student who left and the one who joined?
The median of the observations 4, 14, 11, 8, 7, 8, 9, 12, 4, and 6 is:
The weights (in kg) of 9 members of a school cricket team are 50, 63, x, 62, 64, 48, 51, 55, 48. If the mean weight is 56 kg, then the value of x is:
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The average of 70 values is 40. If each value is multiplied by 20, what will be the changed average?
Important Questions from Average
- Find the mean marks of the following distribution.
Marks obtained No. of students 25 5 30 6 35 3 40 1 - The average of first 169 even numbers is
- The average weight (in kg) of a family of five members whose weights are 40 kg, 49 kg, 56 kg, 74 kg and 35 kg is:
- The average of first 152 odd natural numbers, is:
The average runs scored by a batsman in 23 matches is 40. In the next 10 matches, the batsman scored an average of 16 runs. Find his average runs scored (rounded off to two decimals) in all the 33 matches.
