#### Question

Attempt this question on a graph paper. The table shows the distribution of marks gained by a group of 400 students in an examination.

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

No.of student | 5 | 10 | 30 | 60 | 105 | 180 | 270 | 355 | 390 | 400 |

Using scaie of 2cm to represent 10 marks and 2 cm to represent 50 student, plot these point and draw a smooth curve though the point

Estimate from the graph :

(1)the midian marks

(2)the quartile marks

#### Solution

Marks (less than) |
No.of students |

10 | 5 |

20 | 10 |

30 | 30 |

40 | 60 |

50 | 105 |

60 | 180 |

70 | 270 |

80 | 355 |

90 | 390 |

100 | 400 |

Number of terms=400

∴ Median= `400/2=200^("th")` term

Through 200^{th} term mark draw a line parallel to the x-axis which meets the curve at A. draw a prependiculer to x-axis which meet it at B value of B is the median = 62

Lower Quartile = `Q_1=400/4=100^("th")` term=49

Upper Quartile= `400xx3/4=300^("th")` term=74

Is there an error in this question or solution?

Solution Attempt this Question on a Graph Paper. the Table Shows the Distribution of Marks Gained by a Group of 400 Students in an Examination. Concept: Measures of Central Tendency - Mean, Median, Mode for Raw and Arrayed Data.