Ashok2345 wrote:
The 25 students in an English class took a literature test. Jovan, one of the 25 students, originally received a score on the test that was 6.2 points above the average (arithmetic mean) score for the 25 students. Each student was then given an opportunity to earn 10 additional points on the test by completing an extra project, and the average was then recalculated. If Jovan earned the 10 additional points and no other student earned additional points, Jovan's new score was how many points above the recalculated average score?
One approach is to assign values that meet the given conditions.
The 25 students in an English class took a literature test. Jovan, one of the 25 students, originally received a score on the test that was 6.2 points above the average (arithmetic mean) score for the 25 students. Let's say the average score is
10.
This means the SUM of all 25 scores = (25)(
10) =
250Since Jovan's score is 6.2 greater than the average, we know that Jovan's score =
10 + 6.2 =
16.2Each student was then given an opportunity to earn 10 additional points on the test by completing an extra project, and the average was then recalculated. If Jovan earned the 10 additional points and no other student earned additional points, Jovan's new score was how many points above the recalculated average score?Since only one student (Jovan) earned an additional 10 points, the NEW SUM of all 25 scores =
250 + 10 = 260
So, the recalculated average = 260/25 =
10.4We also know that Jovan's NEW score was
16.2 + 10 =
26.226.2 -
10.4 =
15.8Answer: 15.8