The distance (in km) of 40 engineers from their residence to their place of work were found as follows:

5 3 10 20 25 11 13 7 12 31

19 10 12 17 18 11 32 17 16 2

7 9 7 8 3 5 12 15 18 3

12 14 2 9 6 15 15 7 6 12

Construct a grouped frequency distribution table with class size 5 for the data given above taking the first interval as 0-5 (5 not included). What main features do you observe from this tabular representation?

The given data is very large. Hence, we will construct a group frequency of class size 5.

Therefore,

Class interval will be 0-5, 5-10, 10-15, 15-20 and so on

The data in the table is represented as:

DISTANCES (in km) | TALLY MARKS | FREQUENCY |

0-5 |
| 5 |

5-10 |
| 11 |

10-15 |
| 11 |

15-20 |
| 9 |

20-25 | I | 1 |

25-30 | I | 1 |

30-35 | II | 2 |

Total | 40 |

The classes in the table are not overlapping.

And, 36 out of 40 engineers have their houses under 20 km of distance.

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