#### Question

If the median of the distribution is given below is 28.5, find the values of x and y

Class interval | Frequency |

0 - 10 | 5 |

10 - 20 | x |

20 - 30 | 20 |

30 - 40 | 15 |

40 - 50 | y |

50 - 60 | 5 |

Total | 60 |

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The distribution below gives the weights of 30 students of a class. Find the median weight of the students.

Weight (in kg) |
40 − 45 | 45 − 50 | 50 − 55 | 55 − 60 | 60 − 65 | 65 − 70 | 70 − 75 |

Number of students |
2 | 3 | 8 | 6 | 6 | 3 | 2 |

Find the following table gives the distribution of the life time of 400 neon lamps

Life time (in hours) |
Number of lamps |

1500 − 2000 | 14 |

2000 − 2500 | 56 |

2500 − 3000 | 60 |

3000 − 3500 | 86 |

3500 − 4000 | 74 |

4000 − 4500 | 62 |

4500 − 5000 | 48 |

Find the median life time of a lamp.

The median of the following data is 525. Find the missing frequency, if it is given that there are 100 observations in the data:

Class interval | Frequency |

0 - 100 | 2 |

100 - 200 | 5 |

200 - 300 | f1 |

300 - 400 | 12 |

400 - 500 | 17 |

500 - 600 | 20 |

600 - 700 | f2 |

700 - 800 | 9 |

800 - 900 | 7 |

900 - 1000 | 4 |

#### Reference Material

Solution for question: If the median of the distribution is given below is 28.5, find the values of x and y concept: Median of Grouped Data. For the course CBSE