To determine what score Ahmad needs on his next test to achieve an average (mean) of 71, we can follow these steps:
1. List the scores from the previous tests:
Ahmad's scores are 95, 66, 73, 63, and 58.
2. Determine the number of tests taken so far:
Ahmad has taken 5 tests.
3. Identify the desired mean score:
Ahmad wants his average (mean) score to be 71.
4. Calculate the total number of tests including the upcoming test:
Since Ahmad will take one more test, the total number of tests is 5 + 1 = 6.
5. Calculate the total score needed to achieve the desired mean:
The desired mean is 71, and Ahmad will have taken 6 tests in total. Therefore, the total score needed to achieve this mean is:
[tex]\[
\text{Desired mean} \times \text{Total tests} = 71 \times 6 = 426
\][/tex]
6. Calculate the current total score from the tests he has already taken:
Sum Ahmad's scores from the previous five tests:
[tex]\[
95 + 66 + 73 + 63 + 58 = 355
\][/tex]
7. Determine the additional score needed on the next test:
Subtract the current total score from the total score needed:
[tex]\[
426 - 355 = 71
\][/tex]
Hence, Ahmad needs to score 71 on his next test to achieve an average score of 71.
