The mean score of the students who took a mathematics test was 6. Exactly 60% of the
students passed the test. The mean score of the students who passed the test was 8. What
was the mean score of the students who failed the test?
If it was x, then
.4*x + .6*8 = 1.0*6
x = 3
To find the mean score of the students who failed the test, we need to determine the number of students who failed the test and the mean score of those students.
First, let's determine the number of students who passed and failed the test. We know that exactly 60% of the students passed the test. To find the number of students who passed the test, we can multiply the total number of students by 60% (0.6).
Next, subtract the number of students who passed the test from the total number of students to find the number of students who failed the test.
Now that we have the number of students who failed the test, we can find their mean score. We know that the mean score of the students who passed the test was 8, and the mean score of all students was 6.
To find the mean score of the students who failed the test, we can use the formula:
mean score of students who failed = (total mean score - (mean score of students who passed * number of students who passed)) / number of students who failed
By substituting the given values into the formula, we can calculate the mean score of the students who failed the test.