GraphIt.now
/
SubjectsTutorialAboutContact

GraphIt.now

Free interactive graphs and simulations for students.

Navigate

  • Home
  • Subjects
  • Tutorial
  • About
  • Contact
  • Patch Notes

Subjects

  • Economics
  • Physics
  • Chemistry
  • Biology
  • Mathematics
  • Engineering

Legal

  • Privacy Policy
  • Terms of Service
  • Contact Us

© 2026 GraphIt.now. All rights reserved.

/Mathematics/Chi-Squared Distribution/Advanced Editor
📐 Mathematics← Standard view

Canvas Size

×

Display

Grid opacity50%

Text Sizes

Title18
Axis labels14
Annotations13

Labels

Axis Bounds

to
to

Parameters

Key Concepts

  • • χ² distribution is the sum of k squared standard normal variables
  • • Mean = k, Variance = 2k, right-skewed (becomes more normal as k increases)
  • • Red tail = rejection region: if χ²_stat > χ²_crit, reject H₀
  • • Used for goodness-of-fit tests and tests of independence in contingency tables
  • • IB Biology: χ² test for association, df = (rows−1)(cols−1)

Legend

Show Legend
Size10