The following shows an example of the \chi ^2 method applied to experiments performed by the biologist Gregor Mendel (July 20, 1822 – January 6, 1884).

In one of his famous experiments (sometimes called Mendel's First Experiment) he crossed strains of garden peas with yellow and green seeds. He then allowed the F_1 generation (which were all yellow) to self-fertilize, collected the resulting seeds and grew them all. In the resulting F_2 generation, he found that the ratio yellow:green was 3:1.

In one of his famous experiments (sometimes called Mendel's First Experiment) he crossed strains of garden peas with yellow and green seeds. He then allowed the F_1 generation (which were all yellow) to self-fertilize, collected the resulting seeds and grew them all. In the resulting F_2 generation, he found that the ratio yellow:green was 3:1.

## Software/Applets used on this page

## Glossary

### union

The union of two sets A and B is the set containing all the elements of A and B.

## This question appears in the following syllabi:

Syllabus | Module | Section | Topic | Exam Year |
---|---|---|---|---|

AQA A-Level (UK - Pre-2017) | S4 | Goodness of fit | XTRA | - |

Edexcel A-Level (UK - Pre-2017) | S3 | Goodness of fit | XTRA | - |

Edexcel AS Further Maths 2017 | Further Statistics 1 | Extra | Goodness of Fit - Extra | - |

Edexcel AS/A2 Further Maths 2017 | Further Statistics 1 | Extra | Goodness of Fit - Extra | - |

I.B. Higher Level | 7 | Goodness of fit | XTRA | - |

OCR A-Level (UK - Pre-2017) | S3 | Goodness of fit | XTRA | - |

OCR AS Further Maths 2017 | Statistics | Extra | Goodness of Fit - Extra | - |

OCR MEI AS Further Maths 2017 | Statistics A | Chi-Squared Tests | Goodness of Fit - Extra | - |

OCR-MEI A-Level (UK - Pre-2017) | S3 | Goodness of fit | XTRA | - |

Universal (all site questions) | G | Goodness of fit | XTRA | - |