Pick any of the 8 distributions representing the "parent population" (with values in the range 0 - 100) by clicking the corresponding radio-button, then select the size N of the population sample (N = 1-30) by pressing the buttons "Inc" (increase) / "Dec" (decrease). By pressing the "DRAW" button, the histogram representing the distribution of the generated population starts to be drawn. Obviously for N = 1, the histogram of the "parent population" will be obtained.

The relative population size used for the creation of the histogram can be selected by clicking one of the radio-buttons labelled "Small", "Medium", and "Large". The larger the size of this population is, the less jagged this histogram will appear, but it will take more time to be completed.

The relative population size used for the creation of the histogram can be selected by clicking one of the radio-buttons labelled "Small", "Medium", and "Large". The larger the size of this population is, the less jagged this histogram will appear, but it will take more time to be completed.

## Software/Applets used on this page

This applet was produced by Dr. Constantinos E. Efstathiou at the Laboratory of Analytical Chemistry, Department of Chemistry, National and Kapodistrian University of Athens and used with his permission.

## Glossary

### histogram

A statistical diagram for continuous data similar to a bar chart but where the area of each bar is proportional to the frequency.

### population

A collection, group or set of individuals or objects.

### range

In Statistics: the difference between the largest and smallest values in a data set; a simple measure of spread or variation

In Pure Maths: the values that y can take given an equation y=f(x) and a domain for x.

In Pure Maths: the values that y can take given an equation y=f(x) and a domain for x.

### sample

A collection of sampling units drawn from a sampling frame.

## This question appears in the following syllabi:

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

AQA A-Level (UK - Pre-2017) | S1 | Estimation | Central Limit Theorem | - |

AQA A2 Further Maths 2017 | Statistics | Central Limit Theorem - Extra | Central Limit Theorem | - |

AQA AS/A2 Further Maths 2017 | Statistics | Central Limit Theorem - Extra | Central Limit Theorem | - |

CCEA A-Level (NI) | S2 | Estimation | Central Limit Theorem | - |

CIE A-Level (UK) | S2 | Estimation | Central Limit Theorem | - |

Edexcel A-Level (UK - Pre-2017) | S3 | Estimation | Central Limit Theorem | - |

Edexcel A2 Further Maths 2017 | Further Statistics 1 | Central Limit Theorem | Central Limit Theorem | - |

Edexcel AS/A2 Further Maths 2017 | Further Statistics 1 | Central Limit Theorem | Central Limit Theorem | - |

I.B. Higher Level | 7 | Estimation | Central Limit Theorem | - |

Methods (UK) | M15 | Estimation | Central Limit Theorem | - |

OCR A-Level (UK - Pre-2017) | S2 | Estimation | Central Limit Theorem | - |

OCR A2 Further Maths 2017 | Statistics | Hypothesis Tests and Confidence Intervals | Central Limit Theorem | - |

OCR MEI A2 Further Maths 2017 | Statistics B | Sample Mean and Central Limit Theorem | Central Limit Theorem | - |

OCR-MEI A-Level (UK - Pre-2017) | S3 | Estimation | Central Limit Theorem | - |

Universal (all site questions) | E | Estimation | Central Limit Theorem | - |

WJEC A-Level (Wales) | S2 | Estimation | Central Limit Theorem | - |