पांच-संख्या सारांश कैलकुलेटरसूत्र

Five-Number Summary

Components

1. Minimum: Smallest observation 2. Q1: First quartile (25th percentile) 3. Median: Middle value (50th percentile) 4. Q3: Third quartile (75th percentile) 5. Maximum: Largest observation

These five values provide a quick sketch of the data distribution and form the basis for box-and-whisker plots. The whisker fences at Q1 - 1.5*IQR and Q3 + 1.5*IQR mark the boundary for potential outliers.

हल किया गया उदाहरण

A dataset has min=5, Q1=15, median=30, Q3=45, max=80.

  1. Five-Number Summary: 5, 15, 30, 45, 80
  2. Range = 80 - 5 = 75
  3. IQR = 45 - 15 = 30
  4. Lower Fence = 15 - 1.5*30 = 15 - 45 = -30
  5. Upper Fence = 45 + 1.5*30 = 45 + 45 = 90