Table Chart 6
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Classification of 100 Students Based on the Marks Obtained by them in Physics and Chemistry in an Examination.
| Subject | Marks out of 50 | ||||
| 40 and above | 30 and above | 20 and above | 10 and above | 0 and above | |
| Physics | 9 | 32 | 80 | 92 | 100 |
| Chemistry | 4 | 21 | 66 | 81 | 100 |
| Average (Aggregate) | 7 | 27 | 73 | 87 | 100 |
Required difference
= (No. of students scoring 30 and above marks in Chemistry)
- (Number of students scoring 30 and above marks in aggregate)
= 27 - 21
= 6.
Since 66 students get 20 and above marks in Chemistry and out of these 21 students get 30 and above marks, therefore to select top 35 students in Chemistry, the qualifying marks should lie in the range 20-30.
| We have 40% of 50 = |  |
40 | x 50 |  |
= 20. |
| 100 |
Required number
= Number of students scoring less than 20 marks in aggreagate
= 100 - Number of students scoring 20 and above marks in aggregate
= 100 - 73
= 27.
| We have 60% of 50 = | |
60 | x 50 | |
= 30. |
| 100 |
Required number
= No. of students scoring 30 and above marks in Physics
= 32
Number of students getting at least 60% marks in Chemistry
= Number of students getting 30 and above marks in Chemistry
= 21.
Number of students getting at least 40% marks in aggregate
= Number of students getting 20 and above marks in aggregate
= 73.
| Required percentage |
|
|||||||
| = 28.77% | ||||||||
 29%. |