ماشین‌حساب میانگین وزنی
این ماشین‌حساب میانگین را وقتی حساب می‌کند که برخی مقدارها وزن بیشتری دارند، مثل نمره‌هایی با ضریب‌های متفاوت. مقدارها و وزن‌هایشان را وارد کنید؛ ضرب، جمع و تقسیم می‌کند و هر مرحله را نشان می‌دهد.
نتیجه
مقادیر را وارد کنید و برای دیدن نتیجه «محاسبه» را بزنید.
فرمول
Multiply each value by its weight, add the results, then divide by the total weight.
نحوه استفاده از این ماشین‌حساب
- Enter the values, then their weights in the same order.
- Weights do not need to add up to 1 or 100: the calculator divides by their total.
- Press Calculate to see the weighted average and the working.
مثال‌های حل‌شده
Marks 80, 90 and 70 with weights 2, 3 and 5
80 × 2 + 90 × 3 + 70 × 5 = 160 + 270 + 350 = 780.
The weights add up to 10, so the weighted average is 780 ÷ 10 = 78.
Percent weights: 72 (40%) and 85 (60%)
72 × 40 + 85 × 60 = 2880 + 5100 = 7980.
7980 ÷ 100 = 79.8.
اشتباه‌های رایج
- Taking the ordinary mean, which treats every value as equally important.
- Dividing by the number of values instead of the total weight.
- Listing weights in a different order from the values.
پرسش‌های متداول
How do you calculate a weighted average?
Multiply each value by its weight, add these products, and divide by the sum of the weights.
Do the weights have to add up to 100%?
No. Dividing by the total weight takes care of it: weights 2, 3, 5 work the same as 20%, 30%, 50%.
When is a weighted average used?
Course grades with weighted assignments, grade point averages with credit hours, and averaging prices bought in different quantities.