We will discuss here about the representation of tabular data and their format. When Mrs. Singh, the new maths teacher came to the class, she wanted to know how every body had done in the last maths test. She noted down everyone’s marks. In other words, she collected data about the marks scored in mathematics.

1 2 3 4
5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 |
62 78 80 62 85 58
90 62 70 85 55 70 90 85 75 80 78 90 80 75 55 98 58 62 62 85 55 98 50 55 |

Notice that this data is not in any particular order. Such data is called raw data. It is usually not very easy to get useful information from raw data. For example, the only things that Mrs. Singh could find out immediately is that the highest marks was 98 and lowest marks was 50.

To understand the performance of students better Mrs. Singh
first arranged the marks in ascending order. This is how the arranged data
looked.

50, 55, 55, 55, 55, 58, 58, 62, 62, 62, 62, 62, 70, 70, 75, 75, 78, 78, 80, 80, 80, 85, 85, 85, 85, 90, 90, 90, 98, 98.

She could now easily count the number of students who got a particular mark. To make this data more useful she arranged it in a tabular format.

Marks Obtained |
50 55 58 62 70 75 78 80 85 90 98 |

No. Of Students |
2 4 2 4 2 2 2 3 4 3 1 |

Looking at this table, Mrs. Singh could easily answer the following:

(i) What was the highest mark? (98)

(ii) What was the lowest mark? (50)

(iii) What was the mark obtained by the largest number of student? (62)

**5th Grade Math Problems**

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