High School

Class 10R sat a test. The mean mark for the class was 70%. There are 30 students in the class, 20 of whom are boys. The mean mark for the boys in the test was 62%.

Work out the mean mark for the girls.

Answer :

By dividing the total marks for the girls by the number of girls, we found that the mean mark for the girls in class 10R was 86%.

To calculate the mean mark for the girls in class 10R, we can use the information provided.

We know that there are a total of 30 students in the class, out of which 20 are boys. Therefore, the remaining 10 students must be girls.

The mean mark for the entire class is given as 70%. This means that if we were to add up the marks of all the students and divide it by the total number of students (30), the average mark would be 70%.

To find the total marks of the boys, we can multiply the number of boys (20) by the mean mark for the boys (62%). This gives us a total of 1240 marks for the boys.

Next, we need to find the total marks for the girls. To do this, we subtract the total marks of the boys (1240) from the overall total marks of the class (70% * 30 = 2100). This leaves us with 860 marks for the girls.

Finally, to find the mean mark for the girls, we divide the total marks for the girls (860) by the number of girls (10). This gives us a mean mark of 86% for the girls in class 10R.

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