This 2019 CBSE class 10 Maths 4 mark question is from Statistics. An important 4-mark question from statistics in CBSE class 10 sample question paper. Concept: Computing median when a frequency distribution table is given.

Question 28A: The median of the following data is 525. Find the values of x and y if the total frequency is 100.

Class Interval | Frequency | Class Interval | Frequency |
---|---|---|---|

0 - 100 | 2 | 500 - 600 | 20 |

100 - 200 | 5 | 600 - 700 | y |

200 - 300 | x | 700 – 800 | 9 |

300 - 400 | 12 | 800 - 900 | 7 |

400 - 500 | 17 | 900 - 1000 | 4 |

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Class Interval | Frequency | Cumulative Frequency |
---|---|---|

0 - 100 | 2 | 2 |

100 - 200 | 5 | 7 |

200 - 300 | x | 7 + x |

300 - 400 | 12 | 19 + x |

400 - 500 | 17 | 36 + x |

500 - 600 | 20 | 56 + x |

600 - 700 | y | 56 + x + y |

700 - 800 | 9 | 65 + x + y |

800 - 900 | 7 | 72 + x + y |

900 - 1000 | 4 | 76 + x + y |

It is given that n = 100

So, 76 + x + y = 100

i.e., x + y = 24 **------ 1**

The median is 525, which lies in the class 500 – 600

Median = l + [\\frac{\frac{n}{2} − cf}{f}] \times h)

So, l = 500, f = 20, cf = 36 + x, h = 100

Using the formula: Median = l + [\\frac{\frac{n}{2} − cf}{f}] \times h)

525 = 500 + \\frac{50 − 36 − x}{20}) × 100

525 – 500 = (14 – x) × 5

25 = 70 – 5x

5x = 70 – 25 = 45

**x = 9**

From (**1**), x + y = 24 => 9 + y = 24

**y = 15**

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CBSE Class 10 Maths - 2021

- Real Numbers Revision Class
- Polynomials Revision Videos
- Linear Equations Revision Class
- Quadratic Equations Revision Class
- Arithmetic Progressions Revision Video
- Triangles Revision
- Coordinate Geometry Revision
- Trigonometry Revision Class
- Appl of Trigonometry
- Circles Revision Class
- Areas Related to Circles Revision Videos

1. Section A | 2018 CBSE Class 10 Maths 1 Mark **Questions 1 to 2** ▶

2. Section A | 2019 CBSE Class 10 Maths 1 Mark **Question 3 to 4** ▶

3. Section A | 2019 CBSE Class 10 Maths 1 Mark **Question 5 to 6** ▶

4. Section B | 2019 CBSE Class 10 Maths 2 Mark **Question 7** | Real Numbers ▶

5. Section B | 2019 CBSE Class 10 Maths 2 Mark **Question 8** | Arithmetic Progressions ▶

6. Section B | 2019 CBSE Class 10 Maths 2 Mark **Question 9** | Coordinate Geometry ▶

7. Section B | 2019 CBSE Class 10 Maths 2 Mark **Question 10** | Probability ▶

8. Section B | 2019 CBSE Class 10 Maths 3 Mark **Question 11** | Probability ▶

9. Section B | 2019 CBSE Class 10 Maths 3 Mark **Question 12** | Linear Equations ▶

10. Section C | 2019 CBSE Class 10 Maths 3 Mark **Question 13** | Real Numbers & HCF ▶

11. Section C | 2019 CBSE Class 10 Maths 3 Mark **Question 14** | Polynomials ▶

12. Section C | 2019 CBSE Class 10 Maths 3 Mark **Question 15** | Linear Equations ▶

13. Section C | 2019 CBSE Class 10 Maths 3 Mark **Question 16** | Coordinate Geometry ▶

14. Section C | 2019 CBSE Class 10 Maths 3 Mark **Question 17** | Trigonometric Ratios ▶

15. Section C | 2019 CBSE Class 10 Maths 3 Mark **Question 18** | Circles ▶

16. Section C | 2019 CBSE Class 10 Maths 3 Mark **Question 19** | Triangles ▶

17. Section C | 2019 CBSE Class 10 Maths 3 Mark **Question 20** | Areas Related to Circles ▶

18. Section C | 2019 CBSE Class 10 Maths 3 Mark **Question 21** | Statistics - Median ▶

19. Section C | 2019 CBSE Class 10 Maths 3 Mark **Question 22** | Statistics ▶

20. Section D | 2019 CBSE Class 10 Maths 4 Mark **Question 23** | Quadratic Equations ▶

21. Section D | 2019 CBSE Class 10 Maths 4 Mark **Question 24** | Arithmetic Progressions ▶

22. Section D | 2019 CBSE Class 10 Maths 4 Mark **Question 25** | Triangles ▶

23. Section D | 2019 CBSE Class 10 Maths 4 Mark **Question 27** | Trigonometry ▶

24. Section D | 2019 CBSE Class 10 Maths 4 Mark **Question 28** | Statistics ▶

25. Section D | 2019 CBSE Class 10 Maths 4 Mark **Question 29** | Surface Areas ▶

26. Section D | 2019 CBSE Class 10 Maths 4 Mark **Question 30** | Trigonometry ▶

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