Enter up to 5 different ratios into the Average Ratio Calculator. This calculator treats each ratio as a numeric value (first term ÷ second term, e.g., 2:3 = 2/3 ≈ 0.6667), then computes the arithmetic mean of those values and displays it in AR:1 form.
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Average Ratio Formula
The following formula is used to calculate the Average Ratio (i.e., the arithmetic mean of the ratios after converting each ratio to a numeric value).
AR = \frac{R_1 + R_2 + \dots + R_n}{n}- Where AR is the average (numeric) ratio value, commonly displayed as AR:1
- R1 … Rn are the individual ratios expressed as numbers (e.g., 2:3 = 2/3)
- n is the number of ratios entered (1 to 5)
How to Calculate Average Ratio?
The following example problems outline how to calculate Average Ratio.
Example Problem #1:
- First, determine up to 5 different ratios.
- The ratios are given as: 1/4, 5/2, 6/10, 7/3.
- Finally, calculate the Average Ratio using the equation above.
AR = (R1 + R2 + … + Rn) / n
The values given above are inserted into the equation below and the solution is calculated:
AR = (1/4 + 5/2 + 6/10 + 7/3) / 4 = 1.4208, which can be displayed as approximately 1.42:1
Example Problem #2:
For this problem, the variables required are provided below:
Ratios = 2/1, 3/1, 5/2
Test your knowledge using the equation and check your answer with the calculator above. AR = (R1 + R2 + … + Rn) / n = ?
