Risposte rapide
Direct answers
- What is a weighted average?
- A weighted average assigns different importance (weight) to each value. Unlike a simple average, values with higher weights pull the result further toward them. Formula: weighted average = Σ(value × weight) / Σ(weights). Example: two grades of 7 and 9 with weights 3 and 1 → (7×3 + 9×1) / (3+1) = 30/4 = 7.5.
- How is weighted average different from simple average?
- Simple average treats all values equally: (7+9)/2 = 8. Weighted average accounts for different importance: if the 7 counts for 3 credits and the 9 for 1, the weighted average is 7.5, closer to 7. Use weighted average when values don't have equal importance or represent different quantities.
- How do I calculate food cost with a weighted average?
- Blend ingredient costs weighted by quantity: if you buy 10 kg of mozzarella at €8/kg and 5 kg at €10/kg, the weighted average cost is (10×8 + 5×10) / (10+5) = (80+50)/15 = €8.67/kg. This is more accurate than averaging the two prices directly.
- What weights should I use for university grades?
- Italian universities use CFU (Crediti Formativi Universitari) as weights. Enter each exam grade and its CFU. The calculator gives your weighted average grade (media ponderata), used to determine final degree eligibility. A common target is ≥27/30 average for graduation with honours (110 e lode).
- Can I use percentages as weights?
- Yes. Weights can be any positive numbers — absolute quantities, credits, percentages or fractions. The calculator normalises them automatically. If your weights sum to 100%, the result is the same as using those percentages directly as shares.
- What is weighted average in inventory valuation?
- In Italian restaurant accounting, the costo medio ponderato (CMP) is a legally accepted inventory valuation method. When you buy the same ingredient at different prices across the month, CMP gives you the average cost per unit weighted by quantity purchased — essential for accurate food cost reporting.
Quick answers
Frequently Asked Questions
What is a weighted average?
A weighted average assigns different importance (weight) to each value. Unlike a simple average, values with higher weights pull the result further toward them. Formula: weighted average = Σ(value × weight) / Σ(weights). Example: two grades of 7 and 9 with weights 3 and 1 → (7×3 + 9×1) / (3+1) = 30/4 = 7.5.
How is weighted average different from simple average?
Simple average treats all values equally: (7+9)/2 = 8. Weighted average accounts for different importance: if the 7 counts for 3 credits and the 9 for 1, the weighted average is 7.5, closer to 7. Use weighted average when values don't have equal importance or represent different quantities.
How do I calculate food cost with a weighted average?
Blend ingredient costs weighted by quantity: if you buy 10 kg of mozzarella at €8/kg and 5 kg at €10/kg, the weighted average cost is (10×8 + 5×10) / (10+5) = (80+50)/15 = €8.67/kg. This is more accurate than averaging the two prices directly.
What weights should I use for university grades?
Italian universities use CFU (Crediti Formativi Universitari) as weights. Enter each exam grade and its CFU. The calculator gives your weighted average grade (media ponderata), used to determine final degree eligibility. A common target is ≥27/30 average for graduation with honours (110 e lode).
Can I use percentages as weights?
Yes. Weights can be any positive numbers — absolute quantities, credits, percentages or fractions. The calculator normalises them automatically. If your weights sum to 100%, the result is the same as using those percentages directly as shares.
What is weighted average in inventory valuation?
In Italian restaurant accounting, the costo medio ponderato (CMP) is a legally accepted inventory valuation method. When you buy the same ingredient at different prices across the month, CMP gives you the average cost per unit weighted by quantity purchased — essential for accurate food cost reporting.