sammanvägd

Sammanvägd is a Swedish adjective meaning "weighted" or "combined by weighting values according to their relative importance." In statistics and everyday usage it refers to a calculation in which individual values are multiplied by corresponding weights and then averaged. The resulting quantity is often called a weighted mean, or in Swedish, ett sammanvägt medelvärde (även vägt medelvärde).

Calculation: Given values x1, x2, ..., xn with weights w1, w2, ..., wn, the sammanvägda medelvärdet is (Σ wi xi) / (Σ wi). If weights sum to 1, the denominator is 1, effectively a convex combination.

Usage: The term appears in education to describe grades that combine multiple courses with different credits (sammanvägt betyg). It is also used in finance, risk assessment, and survey analysis to reflect that some components are more influential than others. In practice, sammanvägd can refer to any aggregate where components contribute with varying importance.

Example: scores 80 (weight 2) and 90 (weight 1) yield (80*2 + 90*1)/(2+1) = 250/3 ≈ 83.3.

Notes: The word sammanvägd can be combined with nouns to form phrases such as sammanvägd medelvärde, sammanvägda resultat, or sammanvägda betyg. In use, the term emphasizes weighting rather than a simple arithmetic mean.