# The following table shows the cumulative frequency distribution of marks of 800 students in an examination

Marks Number of students

Below 10 10

Below 20 50

Below 30 130

Below 40 270

Below 50 440

Below 60 570

Below 70 670

Below 80 740

Below 90 780

Below 100 800

Construct a frequency distribution table for the data above

**Solution:**

Given, the data represents the cumulative frequency of marks of 800 students in an examination.

We have to construct a frequency distribution table for the data.

Marks |
Cumulative frequency |
Class interval |
Frequency |

Below 10 |
10 |
0 - 10 |
10 |

Below 20 |
50 |
10 - 20 |
50 - 10 = 40 |

Below 30 |
130 |
20 - 30 |
130 - 50 = 80 |

Below 40 |
270 |
30 - 40 |
270 - 130 = 140 |

Below 50 |
440 |
40 - 50 |
440 - 270 = 170 |

Below 60 |
570 |
50 - 60 |
570 - 440 = 130 |

Below 70 |
670 |
60 - 70 |
670 - 570 = 100 |

Below 80 |
740 |
70 - 80 |
740 - 670 = 70 |

Below 90 |
780 |
80 - 90 |
780 - 740 = 40 |

Below 100 |
800 |
90 - 100 |
800 - 780 = 20 |

**✦ Try This: **The following table shows the cumulative frequency distribution of marks of 800 students in an examination:

Marks | Number of students |

Below 10 | 20 |

Below 20 | 70 |

Below 30 | 150 |

Below 40 | 290 |

Below 50 | 460 |

Below 60 | 580 |

Below 70 | 690 |

Below 80 | 780 |

Below 90 | 890 |

Below 100 | 900 |

Construct a frequency distribution table for the data above.

**☛ Also Check: **NCERT Solutions for Class 10 Maths Chapter 14

**NCERT Exemplar Class 10 Maths Exercise 13.3 Problem 10**

## The following table shows the cumulative frequency distribution of marks of 800 students in an examination: Marks Number of students Below 10 10 Below 20 50 Below 30 130 Below 40 270 Below 50 440 Below 60 570 Below 70 670 Below 80 740 Below 90 780 Below 100 800. Construct a frequency distribution table for the data above

**Summary:**

The frequency distribution table for the given data is mentioned above

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