Maurita and Felice each take 4 tests. Here are the results of Maurita’s 4 tests: 4, 4, 4, 4. Here are the results for 3 of Felice’s 4 tests: 3, 3, 3. If Maurita’s mean for the 4 tests is 1 point higher than Felice’s, what’s the score of Felice’s 4th test?
To find the score of Felice's 4th test, we need to determine the mean score for Felice's 4 tests.
The mean score is calculated by adding up all the scores and dividing by the number of tests taken.
For Maurita, the mean score is (4 + 4 + 4 + 4) / 4 = 16 / 4 = 4.
Since Maurita's mean is one point higher than Felice's, Felice's mean score must be 4 - 1 = 3.
To find Felice's score for the 4th test, we need to calculate the sum of scores for the 3 tests she already took.
Felice's sum of scores is 3 + 3 + 3 = 9.
Now, since Felice's mean is 3, we can find her score for the 4th test by multiplying her mean score by the total number of tests.
If the 4th test is denoted as x, we have the following equation:
(9 + x) / 4 = 3
Multiplying both sides by 4, we have:
9 + x = 12
Subtracting 9 from both sides, we get:
x = 3
Therefore, the score of Felice's 4th test is 3.