{
  "name": "Box plot summary and fence arithmetic for a 14-value and a 15-value data set",
  "description": "Five-number summary, interquartile range, 1.5 x IQR inner fences and flagged points for the OpenStax 2.4 box plot data set (n=14) and the same set with one constructed value, 25, added (n=15). Quartiles use the median-of-each-half method; fences follow NIST e-Handbook 1.3.3.7.",
  "page": "https://casrai.org/guides/when-to-use-box-plot",
  "publisher": "CASRAI",
  "license": "https://creativecommons.org/licenses/by/4.0/",
  "dateModified": "2026-11-14T09:32:02Z",
  "temporalCoverage": null,
  "spatialCoverage": null,
  "columns": [
    {
      "name": "Statistic",
      "unit": "",
      "description": ""
    },
    {
      "name": "14-value set (n=14)",
      "unit": "",
      "description": ""
    },
    {
      "name": "With 25 added (n=15)",
      "unit": "",
      "description": ""
    }
  ],
  "rows": [
    {
      "Statistic": "Minimum",
      "14-value set (n=14)": 1,
      "With 25 added (n=15)": 1
    },
    {
      "Statistic": "Q1",
      "14-value set (n=14)": 2,
      "With 25 added (n=15)": 2
    },
    {
      "Statistic": "Median",
      "14-value set (n=14)": 7,
      "With 25 added (n=15)": 7.2
    },
    {
      "Statistic": "Q3",
      "14-value set (n=14)": 9,
      "With 25 added (n=15)": 10
    },
    {
      "Statistic": "Maximum",
      "14-value set (n=14)": 11.5,
      "With 25 added (n=15)": 25
    },
    {
      "Statistic": "IQR (Q3 - Q1)",
      "14-value set (n=14)": 7,
      "With 25 added (n=15)": 8
    },
    {
      "Statistic": "Lower inner fence (Q1 - 1.5 x IQR)",
      "14-value set (n=14)": -8.5,
      "With 25 added (n=15)": -10
    },
    {
      "Statistic": "Upper inner fence (Q3 + 1.5 x IQR)",
      "14-value set (n=14)": 19.5,
      "With 25 added (n=15)": 22
    },
    {
      "Statistic": "Upper outer fence (Q3 + 3 x IQR)",
      "14-value set (n=14)": 28.5,
      "With 25 added (n=15)": 34
    },
    {
      "Statistic": "Values flagged beyond inner fence",
      "14-value set (n=14)": "none",
      "With 25 added (n=15)": "25 (small circle)"
    },
    {
      "Statistic": "Upper whisker end",
      "14-value set (n=14)": 11.5,
      "With 25 added (n=15)": 11.5
    }
  ],
  "sources": [
    {
      "title": "OpenStax Introductory Statistics 2e, 2.4 Box Plots",
      "url": "https://openstax.org/books/introductory-statistics-2e/pages/2-4-box-plots",
      "accessed": "2026-11-14"
    },
    {
      "title": "NIST/SEMATECH e-Handbook 1.3.3.7 Box Plot",
      "url": "https://www.itl.nist.gov/div898/handbook/eda/section3/boxplot.htm",
      "accessed": "2026-11-14"
    }
  ]
}