Mga plan

Weighted Average Calculator

Hinahanap ng calculator na ito ang mean kapag mas mabigat ang ilang halaga kaysa sa iba, gaya ng mga grade na may iba't ibang weighting. Ilagay ang mga halaga at ang mga weight nito; nagpaparami, nagdadagdag at naghahati ito habang ipinapakita ang bawat hakbang.

Paghiwalayin ang mga halaga gamit ang kuwit o espasyo.
Puwedeng porsiyento, units o bilang ang mga weight.

Resulta

Ilagay ang mga halaga at pindutin ang “Kuwentahin” para makita ang resulta.

Formula

xˉw=∑wixi∑wi\bar{x}_w = \frac{\sum w_i x_i}{\sum w_i}

Multiply each value by its weight, add the results, then divide by the total weight.

Paano gamitin ang calculator na ito

  1. Enter the values, then their weights in the same order.
  2. Weights do not need to add up to 1 or 100: the calculator divides by their total.
  3. Press Calculate to see the weighted average and the working.

Mga halimbawang may solusyon

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.

Mga karaniwang pagkakamali

  • 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.

Mga madalas itanong

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.