# Grouped Data Arithmetic Mean Calculator

Find the average mean for the group data for given values.

Arithmetic mean Can be used for calculating statistics for grouped numbers. To find the arithmetic mean we sum all the values in the series divided by the total numbers of values in the series.

### Grouped Data Arithmetic Mean Formula

Arithmetic Mean = ΣfX/Σf

Where,

X = Individual Score

f = Frequency

Age-Group | Nos of Kids |

0 to 3 | 0 |

3 to 5 | 6 |

5 to 7 | 5 |

7 to 9 | 6 |

Age-Group | Nos of Kids(f) | X-Value |

0 to 6 | 0 | 1.5 |

3 to 5 | 6 | 4.0 |

5 to 7 | 5 | 6.0 |

7 to 9 | 6 | 8.0 |

Age-Group | Nos of Kids(f) | X-Value | fX |

0 to 3 | 0 | 1.5 | 1.5 x 0 = 0 |

3 to 5 | 6 | 4.0 | 4.0 x 6 = 24 |

5 to 7 | 5 | 6.0 | 6.0 x 5 = 30 |

7 to 9 | 6 | 8.0 | 8.0 x 6 = 48 |

Σf = 17 | ΣfX= 102 |

Arithmetic mean = ΣfX/Σf = 102/17 = 6