#### Question

From the following cumulative frequency table , find :

Median

Lower quartile

Upper quaetile

Marks (less than ) |
10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 | 100 |

Cumulative frequency |
5 | 24 | 37 | 40 | 42 | 48 | 70 | 77 | 79 | 80 |

#### Solution

Marks (less than) |
Cumulative frequency |

10 | 5 |

20 | 24 |

30 | 37 |

40 | 40 |

50 | 42 |

60 | 48 |

70 | 70 |

80 | 77 |

90 | 79 |

100 | 80 |

Number of term= 80

\ Median= `40^(th)` term

Median= Through `40^(th)` term mark draw a line parallel to the x-axis which meets the curve at A. from A, Draw a perpendiculer to axis which meets it at B.

Value of B is the median -40

Lower quartile `(Q_1)=20^(th) term=18`

Upeer Quartile` (Q_3)=60^th term=66`

Is there an error in this question or solution?

Solution From the Following Cumulative Frequency Table , Find : Median Lower Quartile Upper Quaetile Concept: Measures of Central Tendency - Mean, Median, Mode for Raw and Arrayed Data.