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95% of the area under the normal distribution lies within 1.96 standard deviations away from the mean.. In probability and statistics, the 97.5th percentile point of the standard normal distribution is a number commonly used for statistical calculations.
Combined with the prevailing gold-silver ratio of 15, the standard for gold was calculated at 371/15 = 24.73 grains fine gold or 26.98 grains 22K gold. Rounding the latter to 27.0 grains finalized the dollar's standard to 24.75 grains of fine gold or 24.75 × 15 = 371.25 grains = 24.0566 grams = 0.7735 troy ounces of fine silver.