📚 Box Plots | 箱线图
Box plots, also called box-and-whisker diagrams, summarise a data set using five key values: the minimum, lower quartile, median, upper quartile and maximum. In Edexcel A-Level Mathematics they are used to display spread, identify outliers and compare two or more distributions quickly.
箱线图又称盒须图,用最小值、下四分位数、中位数、上四分位数和最大值这五个关键值概括一组数据。在爱德思 A-Level 数学中,箱线图用于展示离散程度、识别异常值以及快速比较两个或多个分布。
1. The five-number summary | 五数综合
A box plot is built from a five-number summary. The box spans the lower quartile Q₁ and the upper quartile Q₃, the line inside the box is the median Q₂, and the whiskers extend to the most extreme values that are not outliers.
箱线图建立在五数综合之上。箱体覆盖下四分位数 Q₁ 到上四分位数 Q₃,箱内竖线表示中位数 Q₂,须线延伸到不是异常值的最极端数据。
| Value | Meaning | 中文说明 |
| Minimum | Lowest data value | 最小值 |
| Q₁ | Lower quartile, 25% of data below | 下四分位数,25% 数据小于它 |
| Q₂ | Median, 50% of data below | 中位数,50% 数据小于它 |
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