Unfortunately, determinations become trickier the more two tasks overlap (for example, if the means are one standard deviation apart), as Figure 2 illustrates.

不幸的是，两个任务的重叠部分越大，判断就越困难(例如，如果平均值只相差一个标准偏差)，见图2。

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The indicators show that when governance is improved by one standard deviation, incomes rise about three-fold in the long run, and infant mortality declines by two-thirds.

治理指标表明，当治理出现一个标准偏差的改善，从长期看收入就会提高三倍，婴儿死亡率降低三分之二。

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One standard deviation happens one draw out of three, two standard deviations one out of twenty, three standard deviations is one out of one hundred.

落在一个标准偏差之外的概率是1/3,两个标准差之外的概率是1/20,三个标准差之外是百分之一

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And then I could also do a Gaussian one here, with the mean of and the standard deviation of volatility divided by 2.

然后我在这里再写一个高斯分布的函数，它的浮动值的平均值和,标准偏差值都除了2。

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In statistical terms, optimism is more than one standard deviation above the historical average.

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One standard deviation is defined as the price band a security trades in 68% of the time.

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Pessimism is more than one standard deviation above its historical average, which makes it unusual, but not extraordinary.

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