Weighted Average Calculator

The Weighted Average Calculator calculates exact, real-time domain outputs in active voice. The Weighted Average Calculator multiplies each observation by its relative importance weight and divides by the sum of weights, comparing the weighted mean against the unweighted simple average.

Weighted Average Calculator — Topical Map, Formula and Visual Breakdown Diagram
Interactive Weighted Average Calculator Workspace Launch Interactive Weighted Average Calculator →

Weighted Average Calculator Input Parameters & Defaults

Item 1 Value150First value.
Item 1 Weight100First weight.
Item 2 Value180Second value.
Item 2 Weight200Second weight.
Item 3 Value210Third value.
Item 3 Weight300Third weight.

Weighted Average Calculator Mathematical Formula

\bar{x}_w = \frac{\sum_{i=1}^{n} w_i x_i}{\sum_{i=1}^{n} w_i}

Weighted Average Calculator Worked Example

Buying 100 shares at 150, 200 shares at 180, and 300 shares at 210.

  1. Weighted Sum = (100×150) + (200×180) + (300×210) = 15,000 + 36,000 + 63,000 = 114,000.
  2. Total Weight (Shares) = 100 + 200 + 300 = 600.
  3. Weighted Average Price = 114,000 / 600 = 190.00 (vs. Unweighted Mean of 180.00).

Because three times as many shares were purchased at 210 as at 150, the true average cost basis is 190.00 per share.

Weighted Average Calculator Glossary of Key Terms

Item 1 Value (Weighted Average Calculator)

First value.

Item 1 Weight (Weighted Average Calculator)

First weight.

Item 2 Value (Weighted Average Calculator)

Second value.

Item 2 Weight (Weighted Average Calculator)

Second weight.

Credit-Weighted Quality Points

The product of course credit hours and numeric grade points used to compute Semester GPA and Cumulative CGPA.

CBSE / UGC 9.5 Multiplier

The official conversion constant used to translate a 10-point Cumulative Grade Point Average into percentage marks.

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Weighted Average Calculator Frequently Asked Questions

Q: Do the weights have to add up to 100%?

No. The formula automatically normalizes your weights by dividing by the total sum of weights ∑w_i, so you can enter credit hours, share counts, or percentages directly.

Internal Cluster Links (Weighted Average Calculator)

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