SSC Results 2012 - A new Grading System: Math concept on number ranges

The SSC results are out today. This time there is a huge difference in the way of results announcement. A new "Grade Point System" surprised one and all. It's the talk of the day.

A scale of 10:

A student getting 90 in Hindi and all 92's in the remaining 5 subjects gets a 10 out of 10 scale, but do you believe what his total score is? 550 out of 600.

But a student getting all 100's in five subjects and 91 in the remaining one subject gets a scale of 9.8. you get surprised at his total.It is 591. This is the surprise part of the scaling system. "A student with  a total marks of 591 has a GPA of 9.8 where as a student with a total of 550 can get 10 out of 10".

Rules of the game: The Grade point system in a nut shell

There are six subjects: 1st Language, 2nd Language, 3rd Language, Maths, Science and Social Studies. The grade points are awarded for these subjects individually based on the actual marks obtained in those subjects and the key table followed for this process is:

1st Language, 3rd Language, Non-language subjects	2nd Language	Grade	Grade Point
92-100	90-100	A1	10
83-91	80-89	A2	9
75-82	70-79	B1	8
67-74	60-69	B2	7
59-66	50-59	C1	6
51-58	40-49	C2	5
43-50	30-39	D1	4
35-42	20-29	D2	3
34-0	19-0	E	Fail

A student with marks 92,90,92,92,92,92 for 1st Language, 2nd Language, 3rd language, Maths, Science and Social Studies in that order (A total of 550)gets grade points 10,10,10,10,10 and 10. The Grade Point Average becomes (10+10+10+10+10+10)/6 = 60/6 = 10

A student with marks 100,100,91,100,100,100 for 1st Language, 2nd Language, 3rd language, Maths, Sciencs and Social Studies in that order (A total of 591) gets grade points 10,10,9,10,10 and 10. The Grade Point Average becomes (10+10+9+10+10+10)/6 = 59/6 = 9.8

GPA workout:

These GPAs are rounded to one decimal point.

Some possible GPAs:

(10+10+10+10+10+10)/6 = 60/6 = 10

(9+10+10+10+10+10)/6 = 59/6 = 9.8

(9+9+10+10+10+10)/6 = 58/6 = 9.7

(9+9+9+10+10+10)/6 = 57/6 = 9.5

56/6 = 9.3; 55/6 = 9.2; 54/6 = 9.0......

The Total of Grade Points can be decremented by a minimum of 1.

Let us see how the Range of Total marks varies for different GPAs:

GPA	Minimum Total	Maximum Total
10	92+92+90+92+92+92 = 550	100+100+100+100+100+100 = 600
9.8	92+92+80+92+92+92 = 540	100+100+100+100+100+91 = 591

Try to fill out the table for some other possible GPAs. It's not an easy game. It's number crunching all along...

check out the results here:

GPA	Min. Total	Max. Total
10	550	600
9.8	540	591
9.7	530	582
9.5	520	574
9.3	510	566
9.2	500	558
9	490	550
8.8	480	542