**Category : **5th Class

The information which is in the numeral form called data. The data is gathered through various ways. Then it is manipulated and represented on the graph.

**Raw Data**

The initial data that the observer collects himself is called raw data.

**Explanation**

John wants to know about the marks obtained by the 30 students in math paper. For this he asks the students about the obtained marks and notes the marks obtained by them which are as 40, 45, 60, 65, 45, 50, 64, 60, 70, 65, 60, 45, 72, 54, 72, 64, 60, 65, 40, 50, 65, 45, 60, 64, 60, 71, 54, 75, 72, 40. This data John has collected himself directly from students. Therefore, this is raw data.

**Grouped Data**

When raw data is arranged in a table in order to extract the information contained by it easily, is called grouped data.

Let us arrange the above raw data.

**Step 1:** Arrange the given data either in ascending or descending order 40,.40, 40,45,45,45,45, 50, 50, 54, 54, 60, 60, 60, 60, 60, 60, 64, 64, 64, 65, 65, 65, 65, 70, 71,72,72,72, 75

**Step 2:** Write down the distinct numbers occurs in data in first column 40, 45, 50, 54, 60, 64, 65, 70, 71, 72, 75

**Step 3:** Find out how many times a particular distinct number occurs in the data.

40 3 times

45 4 times

50 2 times

54 2 times

60 6 times

64 3 times

65 4 times

70 1 times

71 1 times

72 3 times

75 1 times

Marks |
Tally marks |
No .of students |

40 | III | 3 |

45 | IIII | 4 |

50 | II | 2 |

54 | II | 2 |

60 | 6 | |

64 | III | 3 |

65 | IIII | 4 |

70 | I | 1 |

71 | I | 1 |

72 | III | 3 |

75 | I | 1 |

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