# Following is the frequency distribution of total marks obtained by the students of different sections of Class VIII.

Marks 100 - 150 150 - 200 200 - 300 300 - 500 500 - 800

Number of students 60 100 100 80 180

Draw a histogram for the distribution above.

**Solution:**

Given, the table represents the __frequency distribution__ of total marks obtained by the students of different selections of Class VIII.

We have to draw a histogram for the above distribution.

We observe that the class intervals of the frequency distribution are not of equal width.

We have to make modifications in the lengths of the rectangles in the __histogram__, so that the __areas of rectangles__ are proportional to the frequencies.

Adjusted frequency of a class=(Minimum class size / Class size of that class) × Frequency of the class

Minimum class size = minimum class interval = 50

Marks | Frequency | Class interval | Length of the rectangle |

100 - 150 | 60 | 50 | (50/50) × 60 = 60 |

150 - 200 | 100 | 50 | (50/50) × 100 = 100 |

200 - 300 | 100 | 100 | (50/100) × 100 = 50 |

300 - 500 | 80 | 200 | (50/200) × 80 = 20 |

500 - 800 | 180 | 300 | (50/300) × 180 = 30 |

Now, draw the histogram with the following data

Marks | Length of the rectangle |

100 - 150 | 60 |

150 - 200 | 100 |

200 - 300 | 50 |

300 - 500 | 20 |

500 - 800 | 30 |

Therefore, the histogram for the distribution is shown above.

**✦ Try This: **Following is the frequency distribution of total marks obtained by the students of different sections of Class X.

Marks | 100 - 150 | 150 - 200 | 200 - 300 | 300 - 500 | 500 - 800 |

Number of students | 80 | 200 | 200 | 90 | 150 |

Draw a histogram for the distribution above.

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

**NCERT Exemplar Class 9 Maths Exercise 14.4 Sample Problem 1**

## Following is the frequency distribution of total marks obtained by the students of different sections of Class VIII. Marks 100 - 150 150 - 200 200 - 300 300 - 500 500 - 800 Number of students 60 100 100 80 180. Draw a histogram for the distribution above.

**Summary:**

The frequency distribution of total marks obtained by the students of different sections of Class VIII is given in the table. The histogram for the given distribution is shown above

**☛ Related Questions:**

- Two sections of Class IX having 30 students each appeared for the mathematics olympiad. The marks ob . . . .
- The following are the marks (out of 100) of 60 students in mathematics. 16, 13, 5, 80, 86, 7, 51, 48 . . . .
- Construct a grouped frequency distribution table with width 10 of each class, in such a way that one . . . .

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