Question

In a class of 35 students of Geography, following marks were obtained out of 10 marks in unit test –

1, 0, 2, 3, 4, 5, 6, 7, 2, 3, 4, 0, 2, 5, 8, 4, 5, 3, 6, 3, 2, 7, 6, 5, 4, 3, 7, 8, 9, 7, 9, 4, 5, 4, 3. Represent the data in the form of a group frequency distribution.

Answer 1

1. Step-1: Find the difference between the largest and the smallest items. The highest value is 97 and the lowest value is 7. Therefore, the difference is 90 (97-7).
2. Step-2: Keeping in mind the range the class interval will be 10 and classes will be 0-10, 10-20, 20-30, etc.
3. Step-3: It is to be noted that the upper limit is excluded and the lower limit is included in the class, i.e. the value 30 will be included in 30-40, not in 20-30.

Class	Mid Value	Tally Marks	Frequency
0-10	05	III	03
10-20	15	IIII	04
20-30	25	II	02

 

30-40	35	IIII	05
40-50	45	IIII III	08
50-60	55	IIII IIII	10
60-70	65	IIII III	08
70-80	75	IIII	05
80-90	85	III	03
90-100	95	II	02

Conclusions derived from the analysis:

• The highest number of students lie in the class interval 50-60, i.e. 10.
• Only 3 students have got marks between 0-10.
• Only 14 students have got marks less than 40%.
• 2 students have got marks more than 90.
• 48 students have got marks less than 90.