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Weighted Average Calculator
To use weighted average calculator, write weights in first box, values in 2nd box separated by commas, and hit calculate button
Weighted Average Calculator
Weighted average calculator is used to calculate the weighted average of the same objects with different sizes and weights.
What is the Weighted Average?
A weighted average is an average in which a weight is applied to each quantity to be averaged. The average relative relevance of each quantity is determined by these weightings. The equivalent of weightings is including that many comparable items of the same value in the average.
Formula:
Weighted Average = sum of all (weights × values) / sum of all weights
Weighted Average = w_{1}x_{1} + w_{2}x_{2} + w_{3}x_{3} + ... + w_{n }x_{n} / w_{1} + w_{2} + w_{3} + ... + w_{n}
How to calculate the weighted average?
Example 1:
Weighted Average =?
Weights = 13,14,15,16,17
Values = 23,24,25,26,27
Solution:
Step 1: Take the formula of the weighted average.
Weighted Average = w_{1}x_{1} + w_{2}x_{2} + w_{3}x_{3} + ... + w_{n }x_{n} / w_{1} + w_{2} + w_{3} + ... + w_{n}
Step 2: Put the values and weights into the above formula.
Weighted Average = (23 * 13) + (24 * 14) + (25 * 15) + (26 * 16) + (27 * 17) / (13 + 14 + 15 + 16 + 17)
= 299 + 336 + 375 + 416 + 459 / 13 + 14 + 15 + 16 + 17
= 1885 / 75
= 25.1333
Example 2:
Weighted Average =?
Weights = 125,126,127,128,129
Values = 33,45,56,67,73
Solution
Step 1: Take the formula of the weighted average.
Weighted Average = w_{1}x_{1} + w_{2}x_{2} + w_{3}x_{3} + ... + w_{n}x_{n} / w_{1} + w_{2} + w_{3} + ... + w_{n}
Step 2: Put the values and weights into the above formula.
Weighted Average = (33 * 125) + (45 * 126) + (56 * 127) + (67 * 128) + (73 * 129) / (125 + 126 + 127 + 128 + 129)
= 4125 + 5670 + 7112 + 8576 + 9417 / (125 + 126 + 127 + 128 + 129)
= 34900 / 635
= 54.9606
Here are some other results of the weighted average calculator
Weights | Values | Weighted Average |
3,4,5,6 | 12,13,14,15 | 13.778 |
13,42,23 | 22,23,31 | 25.192 |
33,12,32,23 | 45,43,23,55 | 40.020 |
11,22,33,44,55 | 32,43,45,32,12 | 29.400 |
43,12,3,4,5,11 | 54,23,21,65,2,3 | 38 |
99,92,93,94 | 32,34,44,27 | 34.196 |
34,42,53,54 | 65,34,68,89 | 65.836 |
43,54,23,55,21 | 76,88,43,22,67 | 59.316 |
34,65,34,12,22 | 54,56,76,53,47 | 58.263 |
33,43,12,22,43 | 54,56,76,53,47 | 54.176 |
65,34,68,89 | 11,22,33,44 | 29.777 |
78,72,73,74,79 | 51,46,82,89,91 | 71.944 |
67,98,93,56,33 | 54,23,76,34,11 | 43.824 |