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单词 quartiles
释义

quartiles

For numerical data ranked in ascending order, the quartiles are values derived from the data which divide the data into four equal parts. If there are n observations, the first quartile (or lower quartile) Q1 is the inline-th, the second quartile (which is the median) Q2 is the inline-th, and the third quartile (or upper quartile) Q3 is the inline-th in ascending order. When inline is not a whole number, it is sometimes thought necessary to take the (weighted) average of two observations, as is done for the median. However, unless n is very small, an observation that is nearest will normally suffice. For example, for the sample 15, 37, 43, 47, 54, 55, 57, 64, 76, 98, we may take Q1=43, Q2=54.5, and Q3=64.

For a random variable, the quartiles are the quantiles x0.25, x0.5, and x0.75; that is, the 25th, 50th, and 75th percentiles.

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更新时间:2025/4/30 4:37:53