Mipango

Kikokotoo cha Wastani wa Uzito

Kikokotoo hiki kinatafuta wastani pale baadhi ya thamani zina uzito zaidi kuliko nyingine, kama alama zenye uzito tofauti. Weka thamani na uzito wake; kinazidisha, kujumlisha na kugawanya huku kikionyesha kila hatua.

Tenganisha thamani kwa koma au nafasi.
Uzito unaweza kuwa asilimia, krediti au idadi.

Tokeo

Weka thamani kisha bonyeza Kokotoa ili kuona tokeo.

Fomula

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.

Jinsi ya kutumia kikokotoo hiki

  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.

Mifano iliyotatuliwa

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.

Makosa ya kawaida

  • 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.

Maswali yanayoulizwa mara kwa mara

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.