# Class 10 – Statistics – Previous Years Questions

Previous Years Questions Important Questions**Statistics – Previous Years Questions**

- The mean and median of a distribution are 14 and 15 respectively. The value of mode is
- 16
- 17
- 18
- 13
**[1 Mark] [CBSE 2020]**

**2.** Find the mode of the following distribution: **[2 Marks] [CBSE 2020]**

Classes: | 0-20 | 20-40 | 40-60 | 60-80 | 80-100 |

Frequency: | 10 | 8 | 12 | 16 | 4 |

**3.** From the following distribution, find the median: **[2 Marks] [CBSE 2020]**

Classes: | 500-600 | 600-700 | 700-800 | 800-900 | 900-1000 |

Frequency: | 36 | 32 | 32 | 20 | 30 |

**4.** The table below shows the salaries of 280 persons: **[3 Marks] [CBSE 2018]**

Salary (In thousand ₹) | No. of persons |

5 – 10 | 49 |

10 – 15 | 133 |

15 – 20 | 63 |

20 – 25 | 15 |

25 – 30 | 6 |

30 – 35 | 7 |

35 – 40 | 4 |

40 – 45 | 2 |

45 – 50 | 1 |

Calculate the median salary of the data.

**5.** A class teacher has the following absentee record of 40 students of a class for the whole term. Find the mean number of days a student was absent. **[3 Marks] [CBSE 2019]**

Number of days | 0 – 6 | 6 -12 | 12 – 18 | 18-24 | 24-30 | 30-36 | 36-42 |

Number of students | 10 | 11 | 7 | 4 | 4 | 3 | 1 |

**6.** The mean of the following distribution is 18. Find the frequency of the class 19 – 21. **[4 Marks] [CBSE 2018]**

Class | 11 – 13 | 13 – 15 | 15 – 17 | 17 – 19 | 19 – 21 | 21 – 23 | 23 – 25 |

Frequency | 3 | 6 | 9 | 13 | f | 5 | 4 |

**7.** The following distribution gives the daily income of 50 workers of a factory: **[4 Marks] [CBSE 2018]**

Daily income (in ₹) | 100 – 120 | 120-140 | 140 – 160 | 160 – 180 | 180-200 |

Number of workers | 12 | 14 | 6 | 8 | 10 |

Convert the distribution above to a less than type cumulative frequency distribution and draw its ogive.

**8.** Change the following distribution to a ‘more than type’ distribution. Hence draw the ‘more than type’ ogive for this distribution. **[4 Marks] [CBSE 2019]**

Class interval: | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 | 80-90 |

Frequency: | 10 | 8 | 12 | 24 | 6 | 25 | 15 |

**9.** Change the following distribution into ‘less than’ type distribution and draw its ogive. Hence find the median of the distribution. **[4 Marks] [CBSE 2020]**

Marks | Number of students |

20 – 30 | 4 |

30 – 40 | 10 |

40 – 50 | 12 |

50 – 60 | 14 |

60 – 70 | 8 |

70 – 80 | 3 |

80 – 90 | 4 |

90 – 100 | 5 |

**10.** Find the mean, mode and median of the following frequency distribution : **[6 marks] [CBSE 2010]**

Class: | 0 – 10 | 10 – 20 | 20 – 30 | 30 – 40 | 40 – 50 | 50 – 60 | 60 – 70 |

Frequency: | 4 | 4 | 7 | 10 | 12 | 8 | 5 |

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