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#### Question

100 surnames were randomly picked up from a local telephone directory and the frequency distribution of the number of letters in the English alphabets in the surnames was obtained as follows:

Number of letters |
Number of surnames |

1 - 4 | 6 |

4 − 7 | 30 |

7 - 10 | 40 |

10 - 13 | 6 |

13 - 16 | 4 |

16 − 19 | 4 |

Determine the median number of letters in the surnames. Find the mean number of letters in the surnames? Also, find the modal size of the surnames.

#### Solution

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