**Telangana SCERT Solution Class IX (9) Math Chapter 9 Statistics Exercise 9.1**

(1) Mark wise frequencies of the frequency distribution table.

Marks | 5 | 6 | 7 | 8 | 9 | 10 |

Frequency (f) | 5 | 11 – 5 = 6 | 19 – 11 = 8 | 31 – 19 = 12 | 40 – 31 = 9 | 45 – 40 = 5 |

(2) The frequency distribution table for the following students

Blood group |
A | B | AB | O |

Frequency(f) |
10 | 9 | 2 | 15 |

The most common blood type is O

The rarest blood type is AB

(3) The frequency distribution table from the given as follows.

No of Heads |
0 | 1 | 2 | 3 |

Frequency (f) |
3 | 10 | 10 | 7 |

(4) The frequency distribution from the given data is as follow

A – Complete prohibition

B – Prohibition in public places only

C – Not necessary

Types of SNS | A | B | C |

Frequency (f) | 19 | 36 | 10 |

In my opinion B is the appropriate choice.

The majority of people opinion tilted towards option B which is prohibition in public places only.

(5) The frequency distribution table from the given is as follows: –

Types of vehicle | Cars | Bikes | Autos | Cycles |

Frequency(f) | 25 | 45 | 30 | 40 |

(6) The scale of the given graph is as follows: –

On X axis 1 cm = 1 class interval

On Y axis 1 cm = 10 students

The frequency distribution table from the given graph is as follows: –

Class | Class – I | Class – II | Class – III | Class – IV | Class – V | Class – VI |

No of Students (f) | 40 | 55 | 65 | 50 | 30 | 15 |

(7) The frequency distribution tables from the given data is as follows: –

Marks (class interval) | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 |

No of students (f) | 1 | 4 | 3 | 7 | 7 | 7 | 1 | 0 |

(8) Given,

Class size is 75

The frequency distribution table from the given data is as follows: –

Electricity Bill in (₹) [class interval] | No. of houses (f) |

0-75 | 0 |

75-150 | 0 |

150-225 | 4 |

225-300 | 3 |

300-375 | 7 |

375-450 | 7 |

450-525 | 0 |

525-600 | 1 |

600-675 | 1 |

675-750 | 2 |

(9) The frequency distribution table form the given data is as follow

Class size = 0.5 starting from 2 – 2.5

Life time of Bathu’s (in year) | 2-2.5 | 2.5-3.0 | 3.0-3.5 | 3.5-4 | 4-4.5 | 4.5-5 |

No of Batteries (f) | 2 | 6 | 14 | 11 | 4 | 3 |