5th Class Mathematics Data Handling Data

       Data

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