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Enter the data set and separate each number with comma. Hit the ** Calculate** button to find the geometric mean using geometric means calculator.

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

Geometric mean is a type of average which 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

Where,

** n **is the total numbers of samples,

** x_{1}, x_{2}, x_{3,….} **are individual values in the data set.

To calculate 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 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 |

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