# NCERT Solutions for Class 9 Maths Chapter 14 Statistics

**Q. In the given figure, there is a histogram depticting daily wages of workers in a factory. Construct the frequency distribution table.**

**Ans.**

Class-interval Wages (in ₹) | No. of workers |

150 – 200 | 50 |

200 – 250 | 30 |

250 – 300 | 35 |

300 – 350 | 20 |

350 – 400 | 10 |

It is the required frequency distribution for given histogram.

**Q. Given below are the seats won by different political parties in the polling outcome of a state assembly elections :**

Political party | Seats won |

A | 75 |

B | 55 |

C | 37 |

D | 29 |

E | 10 |

F | 37 |

**(i) Draw a bar graph to represent to polling results.****(ii) Which political party won the maximum number of seats?**

**Ans.**

**(ii)** Party A, was the maximum number of seats as 75.

**Q. The following table gives the distribution of students of two sections according to the marks obtained by them :**

Section A | Section B | ||

Marks | Frequency | Marks | Frequency |

0 – 10 | 3 | 0 – 10 | 5 |

10 – 20 | 9 | 10 – 20 | 19 |

20 – 30 | 17 | 20 – 30 | 15 |

30 – 40 | 12 | 30 – 40 | 10 |

40 – 50 | 9 | 40 – 50 | 1 |

**Represent the marks of the students of both the sections on the same graph by two frequency polygon. From the two polygons compare the performance of the two sections.**

**Ans.**

Section A | Section B | ||||

Marks | Mid value | Frequency (fA) | Marks | Mid value | fB |

0 – 10 | 5 | 3 | 0 – 10 | 5 | 5 |

10 – 20 | 15 | 9 | 10 – 20 | 15 | 19 |

20 – 30 | 25 | 17 | 20 – 30 | 25 | 15 |

30 – 40 | 35 | 12 | 30 – 40 | 35 | 10 |

40 – 50 | 45 | 9 | 40 – 50 | 45 | 1 |