Paul wrote five tests which were marked out of 200 marks. His average was 60%. Paul scored 40 out of 50 in a 6th test. What was his NEW average?
((5*.60)+.80)/6 = 63.3%
You didn't say whether the tests were weighted, so I'm not sure what the 200 points mean.
To find Paul's new average after the 6th test, we need to calculate the total marks he scored in all the tests and divide it by the total number of tests.
First, let's calculate the total marks he scored in the first five tests. Since his average was 60%, we can assume that he scored 60% of the maximum marks in each test.
The maximum marks for each test is 200, and his average is 60%, so his average marks in each test is 60/100 * 200 = 120 marks.
Therefore, the total marks for the first five tests is 120 marks/test * 5 tests = 600 marks.
Now, let's add the marks he scored in the 6th test, which is 40 marks.
The new total marks for all the tests is 600 marks (from the first five tests) + 40 marks (from the 6th test) = 640 marks.
Since he has now taken 6 tests, we divide the total marks by the number of tests to get the new average.
New average = Total marks/Total number of tests = 640 marks/6 tests = 106.67 marks.
Therefore, Paul's new average after the 6th test is approximately 106.67 marks.
To determine Paul's new average after scoring 40 out of 50 in a 6th test, we need to calculate his overall score and divide it by the total number of tests.
1. Calculate Paul's overall score before the 6th test:
- Paul wrote five tests that were marked out of 200 each, so his total possible score is 5 * 200 = 1000.
- His average score before the 6th test was 60%, which is equal to 60/100 * 1000 = 600.
2. Calculate Paul's overall score after the 6th test:
- Paul scored 40 out of 50 in the 6th test, which is 40/50 * 100 = 80%.
- Convert this percentage to a score by multiplying it by the total possible score for the test, which is 200: 80/100 * 200 = 160.
3. Add the new test score to Paul's overall score before the 6th test:
- 600 (overall score before the 6th test) + 160 (new test score) = 760.
4. Calculate the new average by dividing the overall score after the 6th test by the total number of tests:
- Paul took six tests in total, so his new average is 760 / 6 = 126.67.
Therefore, Paul's new average after the 6th test is approximately 126.67.