#### Question

The age of 40 students are given in the following table :

Age (in yrs) | 12 | 13 | 14 | 15 | 16 | 17 | 18 |

Frequency | 2 | 4 | 6 | 9 | 8 | 7 | 4 |

Find the Arithmetic mean.

#### Solution

Age in yrs `x_i` | Frequency `(f_i)` | `F_i X_i` |

12 | 2 | 24 |

13 | 4 | 52 |

14 | 6 | 84 |

15 | 9 | 135 |

16 | 8 | 128 |

17 | 7 | 119 |

18 | 4 | 72 |

Total | 40 | 614 |

`barx=f_ix_i/(Σ f) =614/40=15.35`

Is there an error in this question or solution?

Solution The Age of 40 Students Are Given in the Following Table : Concept: Measures of Central Tendency - Mean, Median, Mode for Raw and Arrayed Data.