# Construct a grouped frequency distribution table with width 10 of each class, in such a way that one of the classes is 10 - 20 (20 not included). The following are the marks (out of 100) of 60 students in mathematics.

16, 13, 5, 80, 86, 7, 51, 48, 24, 56, 70, 19, 61, 17, 16, 36, 34, 42, 34, 35, 72, 55, 75, 31, 52, 28,72, 97, 74, 45, 62, 68, 86, 35, 85, 36, 81, 75, 55, 26, 95, 31, 7, 78, 92, 62, 52, 56, 15, 63,25, 36, 54, 44, 47, 27, 72, 17, 4, 30.

**Solution:**

Given, the data represents the marks of 60 students in mathematics.

We have to construct the group __frequency distribution__ table with width 10 of each class , in such a way that one of the classes is 10 - 20 (20 not included).

Class interval | Marks obtained by students | Number of students |

0 - 10 | 5, 4, 7, 7 | 4 |

10 - 20 | 16, 13, 19, 17, 16, 15, 17 | 7 |

20 - 30 | 24, 28, 26, 25, 27 | 5 |

30 - 40 | 36, 34, 34, 35, 31, 35, 36, 31, 36, 30 | 10 |

40 - 50 | 48, 42, 45, 44, 47 | 5 |

50 - 60 | 51, 56, 55, 52, 55, 52, 56, 54 | 8 |

60 - 70 | 61, 62, 68, 62, 63 | 5 |

70 - 80 | 70, 72, 75, 72, 74, 75, 78, 72 | 8 |

80 - 90 | 80, 86, 86, 85, 81 | 5 |

90 - 100 | 97, 95 92 | 3 |

The group frequency distribution of the data above is

Class | Tally Marks | Frequency |

0 - 10 | | | | | | 4 |

10 - 20 | 7 | |

20 - 30 | 5 | |

30 - 40 | 10 | |

40 - 50 | 5 | |

50 - 60 | 8 | |

60 - 70 | 5 | |

70 - 80 | 8 | |

80 - 90 | 5 | |

90 - 100 | | | | | 3 |

Therefore, the group frequency distribution table is mentioned above

**✦ Try This: **The following are the marks (out of 100) of 70 students in mathematics.

14, 13, 6, 81, 85, 6, 52, 47, 24, 56, 70, 17, 62, 16, 17, 38, 34, 42, 54, 36, 73, 56, 75, 36, 51, 29, 73, 98, 73, 46, 61, 69, 85, 36, 86, 35, 82, 74, 56, 25, 94, 32, 8, 75, 91, 61, 51, 55, 15, 63, 25, 34, 53, 43, 46, 26, 71, 15, 6, 20, 25, 78, 90, 24, 67, 89, 40, 30, 10, 89.

Construct a grouped frequency distribution table with width 10 of each class, in such a way that one of the classes is 10 - 20 (20 not included).

**☛ Also Check:** NCERT Solutions for Class 9 Maths Chapter 14

**NCERT Exemplar Class 9 Maths Exercise 14.4 Problem 2**

## Construct a grouped frequency distribution table with width 10 of each class, in such a way that one of the classes is 10 - 20 (20 not included). The following are the marks (out of 100) of 60 students in mathematics. 16, 13, 5, 80, 86, 7, 51, 48, 24, 56, 70, 19, 61, 17, 16, 36, 34, 42, 34, 35, 72, 55, 75, 31, 52, 28,72, 97, 74, 45, 62, 68, 86, 35, 85, 36, 81, 75, 55, 26, 95, 31, 7, 78, 92, 62, 52, 56, 15, 63,25, 36, 54, 44, 47, 27, 72, 17, 4, 30.

**Summary:**

The following are the marks (out of 100) of 60 students in mathematics. 16, 13, 5, 80, 86, 7, 51, 48, 24, 56, 70, 19, 61, 17, 16, 36, 34, 42, 34, 35, 72, 55, 75, 31, 52, 28,72, 97, 74, 45, 62, 68, 86, 35, 85, 36, 81, 75, 55, 26, 95, 31, 7, 78, 92, 62, 52, 56, 15, 63,25, 36, 54, 44, 47, 27, 72, 17, 4, 30. A grouped frequency distribution table with width 10 of each class , in such a way that one of the classes is 10 - 20 (20 not included)

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