Student Final Grade Average by Quarters

Final grade and weighted average

When grades carry no weight, the average is just the arithmetic mean avg = Σ grades / n. Add weights and it turns into avg = Σ(grade · weight) / Σ weights. Want the lowest grade the last test can carry and still land on a target average? Isolate the unknown: min_last = (target · n_total − Σ previous) / n_remaining. Say you have 7, 8 and 6, a 4th test still to come, and a target of 7.0 → (7·4 − 21) / 1 = 7. When that number climbs above 10 (or whatever the scale tops out at), there's no way left to pass on points alone, and it comes down to the final exam or recovery period.

Applications

Students and teachers reach for it to plan around a final exam, decide whether recovery is on the table, run a GPA simulation, or double-check a school report. It also helps when you're tracking against MEC/INEP cutoffs such as the 6.0 average and 75% attendance.

FAQ

What if grades have different weights? Multiply each grade by its weight, add up those products, then divide by the sum of the weights. Don't divide by how many grades there are.

What does a result above 10 mean? The remaining test or tests can't get you to the target average anymore. From there it's the final exam (prova final) or recovery (recuperação), depending on what the school's rules say.

Does this work for the Brazilian 0–10 scale? It does. The formula doesn't care which scale you pick, as long as you stick to one throughout: 0–10, 0–100, or A–F converted to numbers.