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# Geometric Mean Calculator

Enter the comma seprated data set values in the input box. Hit the ** Calculate** button to find the geometric mean using geometric means calculator.

## Geometric Mean Calculator

Geometric mean calculator is an online statistical tool that calculates the geometric mean of the sample data set.

## What is geometric mean?

Geometric mean is a type of average that indicates the central tendency of a set of numbers by using the product of their values. The geometric mean is defined as the *n*** th root **of the product of

**numbers.**

*n*## Geometric mean formula

Where,

is the total numbers of samples,*n*are individual values in the data set.*x*_{1}, x_{2}, x_{3,….}

## How to find the geometric mean?

To calculate the geometric mean of the given data set, follow the below example.

*Example:*

Find the geometric mean of the following set of data.

*3, 5, 2, 9, 4, 1, 5, 2*

**Solution:**

**Step 1: **Identify the values.

*x _{1} = 3, x_{2} = 5, x_{3} = 2, x_{4} = 9, x_{5} = 4_{, }x_{6} = 1, x_{7} = 5, x_{8} = 2*

*N = 8*

**Step 2: **Write the geometric mean formula and place the values.

*G.M = (10800) ^{1/8}*

*G.M = (10800) ^{0.125}*

*G.M = 3.1928*

## Geometric Mean Table

Geometric Mean of 4 and 9 | 6 |

Geometric Mean of 4 and 10 | 6.3246 |

Geometric Mean of 4 and 12 | 6.9282 |

Geometric Mean of 4 and 16 | 8 |

Geometric Mean of 5 and 20 | 10 |

Geometric Mean of 2 and 8 | 4 |

Geometric Mean of 2 and 25 | 7.0711 |

Geometric Mean of 8 and 12 | 9.7980 |

Geometric Mean of 9 and 16 | 12 |

Geometric Mean of 8 and 18 | 12 |

Geometric Mean of 5 and 15 | 8.6603 |

Geometric Mean of 5 and 10 | 7.0711 |

Geometric Mean of 100 and 25 | 50 |

Geometric Mean of 4,6 and 9 | 6 |

## References

- Geometric mean // tutors.com. Tutors.com. (n.d.).
- How to find geometric mean. Geometric mean. (n.d.).