1. Observe the information's in the following cumilative frequency table

** no. of days absent **

less than 5

less than 10

less than 15

less than 20

less than 25

less than 30

less than 35

less than 40

less than 45

** No. of students**

**29**

**224**

**465**

**582**

**634**

**644**

**650**

**653**

**655**

Q.. Draw a 'less than' ogive and 'more than' ogive to represent the above data .

Q... Find median for the above data by interpreting the graph.

Q...why regularity is essential in students life (VBQ)

Class intervals |
Frequency |
Cumulative frequency less than |
cumulative frequency more than |

0-5 | 29 | less than 5 = 29 | more than 0 = 655 |

5-10 | 195 | less than 10 = 224 | more than 5 = 626 |

10-15 | 241 | less than 15 = 465 | more than 10 = 431 |

15-20 | 117 | less than 20 = 582 | more than 15 = 190 |

20-25 | 52 | less than 25 = 634 | more than 20 = 73 |

25-30 | 10 | less than 30 = 644 | more than 25 = 21 |

30-35 | 6 | less than 35 = 650 | more than 30 = 11 |

35-40 | 3 | less than 40 = 653 | more than 35 = 5 |

40-45 | 2 | less than 45 = 655 | more than 40 = 2 |

For

**less than Ogive**, we plot the following points :

(5,29); (10, 224); (15, 465); (20, 582); (25, 634); (30, 644), (35, 650); (40, 653) and (45, 655).

For

**more than Ogive**, we plot the following points :

(0,655);(5,626); (10,431); (15,190); (20,73); (25,21); (30, 11); (35,5) and (40, 2).

From the intersection of two Ogives, we draw a perpendicular on

*x*- axis, that meets

*x*-axis at 12.15.

$\mathbf{So}\mathbf{,}\mathbf{}\mathbf{median}\mathbf{}\mathbf{\approx}\mathbf{}\mathbf{12}\mathbf{.}\mathbf{15}$

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