1. Comparison of two Normalization Procedures and implications for students

2. Normalization procedure 1 Get percentile (P) of a student on the basis of 5- subject aggregate scores in board. Determine the JEE-Main aggregate marks corresponding to percentile P at the All-India level. Regard this as the normalized board score of the student (B 1 ). Get JEE-Main aggregate marks (A 0 ) of the student. The composite marks used for drawing merit list is A 1 = 0.6 A 0 + 0.4 B 1.

3. Normalization procedure 2 Get percentile (P) of a student on the basis of 5-subject aggregate scores in board. Determine the JEE-Main aggregate marks corresponding to percentile P from the set of aggregate marks obtained by different students of that board in JEE-Main. Regard this as the normalized board score of the student (B 2 ). Get JEE-Main aggregate marks (A 0 ) of the student. The composite marks used for drawing merit list is A 2 = 0.6 A 0 + 0.4 B 2.

4. BoardStudents % of Students MeanMedian P0 Board P1 Board P2 Board P0 AIEEE P1 AIEEE P2 AIEEE P0 Board P1 Board P2 Board P0 AIEEE P1 AIEEE P2 AIEEE AM 5,182166.427.624.023.925.423.966.625.123.022.923.822.9 AP 55,80710.8186.527.630.4 29.330.488.725.226.8 26.427.2 BR 42,5088.2363.727.623.4 25.123.464.025.222.422.223.822.5 CBSE 204,37539.5869.227.630.6 29.430.669.825.227.727.826.627.7 CG 8,4231.6361.727.622.222.124.322.260.625.221.821.623.121.6 CISC 13,3542.5974.627.630.530.629.430.675.825.227.8 26.727.8 GO 3800.0768.827.528.6 28.228.667.825.226.726.625.826.5 GT 27,4895.3263.227.726.126.026.726.163.125.225.125.024.924.7 HP 4,5720.8968.027.622.9 24.822.967.025.222.222.023.522.2 JH 12,0942.3451.427.522.322.224.422.251.625.121.6 23.221.6 JK 2,5680.569.127.423.023.124.823.169.825.222.522.223.622.4 KK 9,0321.7577.527.630.2 29.230.281.225.227.927.826.727.8 KL 15,8483.0782.327.626.9 27.226.983.225.225.5 25.225.4 MG 2280.0464.127.424.9 25.924.962.925.224.224.124.223.9 MN 1920.0462.727.423.223.124.823.261.825.122.5 23.822.5 MP 21,2504.1168.427.623.5 25.123.569.425.122.322.223.622.4 MR 2,9170.5663.127.724.4 25.724.462.225.223.022.923.822.9 MZ 960.0260.727.222.922.824.622.859.725.122.021.923.422.2 NIOS 1,4470.2853.627.424.3 25.524.355.825.223.022.924.523.4 NL 3280.0650.826.421.822.023.721.951.825.221.521.323.221.5 PB 8,5701.6669.627.723.823.725.323.869.825.223.022.923.922.8 RJ 34,0776.663.227.624.6 25.824.662.425.123.2 23.923.1 TN 14,5582.8283.227.624.8 25.924.885.825.224.1 24.523.9 UK 4,2330.8257.727.622.422.324.422.357.425.221.8 23.221.7 UP 26,8885.2165.627.623.123.024.823.066.825.222.2 23.622.3 Profile of Boards and Changes under P1 and P2

5. P0 <= 50 50> P0 <=75 Distance of P1 And P2 From P0 for different Percentile Ranges of P0 The Difference of P2-P0 gives more stable results across the boards compared to P1-P0, which deviates from the P0 as high as 15 >15% of Student moved from Lowest Scoring group to higher Scoring groups Almost 10% of Student moved from this group to either higher Scoring Groups or Lower Scoring Group

6. 75> P0 <=95 P0 >= 95 Distance of P1 And P2 From P0 Again, P2-P0 shows lesser variation compared to P1-P0

7. PercentileAMAPBRCBSECGCISCGOGTHPJHJKKKKLMGMNMPMRMZNIOSNLPBRJTNUKUP P0<=50 68.542.971.738.179.338.440.553.974.778.671.837.449.658.374.572.366.677.167.483.269.265.360.677.772.6 50>P0<=75 21.023.119.226.016.525.430.827.219.216.221.526.527.827.619.318.720.415.619.614.020.821.726.417.819.9 75>P0<=95 9.824.68.128.14.028.324.717.25.74.96.329.420.613.65.27.611.57.311.72.79.311.312.54.37.0 P0>=95 0.79.51.07.80.28.03.91.70.3 0.46.62.00.41.01.41.50.01.20.00.71.70.60.20.5 Distribution of Students in Four Percentile Groups under P0, P1 and P2 % of Board Students Under Different Percentile Ranges – P0 PercentileAMAPBRCBSECGCISCGOGTHPJHJKKKKLMGMNMPMRMZNIOSNLPBRJTNUKUP P0<=50 60.943.561.341.866.841.945.051.964.266.662.941.349.757.962.5 59.768.856.067.760.359.055.366.662.9 50>P0<=75 24.124.4 25.822.225.027.1 23.522.023.625.926.525.426.623.023.119.826.724.125.023.426.721.923.6 75>P0<=95 12.724.213.024.910.025.622.918.110.810.412.326.220.114.59.412.614.59.416.07.613.015.016.410.212.2 P0>=95 2.27.91.37.51.07.55.02.91.51.01.26.63.82.21.61.82.72.11.20.61.72.61.61.3 % of Board Students Under Different Percentile Ranges – P1 PercentileAMAPBRCBSECGCISCGOGTHPJHJKKKKLMGMNMPMRMZNIOSNLPBRJTNUKUP P0<=50 69.138.771.735.181.535.537.452.476.780.872.734.747.660.176.672.666.081.364.588.169.264.759.080.174.0 50>P0<=75 21.225.220.627.915.126.932.929.517.615.221.127.929.627.619.318.821.412.524.310.122.322.428.615.919.6 75>P0<=95 8.926.97.328.73.329.325.816.75.43.85.830.520.711.43.67.711.36.310.91.88.011.512.13.96.1 P0>=95 0.89.20.48.30.18.33.91.50.30.20.36.92.10.90.50.91.30.00.20.00.51.30.30.10.3 % of Board Students Under Different Percentile Ranges – P2

8. P0-P1AMAPBRCBSECGCISCGOGTHPJHJKKKKLMGMNMPMRMZNIOSNLPBRJTNUKUP P0<=50-7.60.7-10.43.7-12.53.54.5-2.1-10.5-12.0-8.93.90.1-0.4-12.0-9.8-6.9-8.3-11.3-15.5-9.0-6.4-5.3-11.2-9.7 50>P0<=753.21.25.2-0.25.7-0.3-3.70.04.35.82.1-0.6-1.3-2.27.34.32.74.27.110.14.21.70.34.23.6 75>P0<=952.9-0.44.9-3.26.0-2.6-1.80.95.15.56.0-3.2-0.60.94.25.03.02.14.34.93.7 3.95.95.2 P0>=951.5-1.50.2-0.40.7-0.51.11.21.10.60.80.01.8 0.50.41.22.1-0.10.61.11.0 1.10.8 P0-P2AMAPBRCBSECGCISCGOGTHPJHJKKKKLMGMNMPMRMZNIOSNLPBRJTNUKUP P0<=50-0.64.10.02.9-2.22.93.21.6-2.0-2.3-0.92.82.0-1.8-2.1-0.30.6-4.22.8-4.90.00.61.6-2.4-1.4 50>P0<=75-0.2-2.1-1.4-1.91.5-1.5-2.1-2.31.61.00.4-1.4-1.80.0 -0.13.1-4.74.0-1.4-0.7-2.21.90.3 75>P0<=950.9-2.30.7-0.50.7-1.10.50.41.10.5-1.1-0.12.21.6-0.20.11.00.80.91.3-0.20.4 0.9 P0>=95-0.10.20.6-0.50.1-0.40.00.20.00.1 -0.3-0.1-0.40.5 0.20.01.00.00.10.3 0.1 % of Board Students Shifting from P0, under Procedure P1 % of Board Students Shifting from P0, under Procedure P2 PercentileAMAPBRCBSECGCISCGOGTHPJHJKKKKLMGMNMPMRMZNIOSNLPBRJTNUKUP P0<=50 68.542.971.738.179.338.440.553.974.778.671.837.449.658.374.572.366.677.167.483.269.265.360.677.772.6 50>P0<=75 21.023.119.226.016.525.430.827.219.216.221.526.527.827.619.318.720.415.619.614.020.821.726.417.819.9 75>P0<=95 9.824.68.128.14.028.324.717.25.74.96.329.420.613.65.27.611.57.311.72.79.311.312.54.37.0 P0>=95 0.79.51.07.80.28.03.91.70.3 0.46.62.00.41.01.41.50.01.20.00.71.70.60.20.5 % of Board Students Under Different Percentile Ranges – P0 Migration of Students under P1 And P2 From P0 Student % decrease with reference to P0

9. Distance of P2 From P1 Percentile Range of P0 AMAPBRCBSECGCISCGOGTHPJHJKKKKLMGMNMPMRMZNIOSNLPBRJTNUKUP P0 <=50 8.2-4.810.4-6.714.7-6.4-7.60.512.514.29.9-6.7-2.12.214.110.16.312.58.520.48.95.83.713.511.1 50> P0 <=75 -2.90.9-3.92.1-7.21.85.82.3-5.9-6.8-2.52.03.02.2-7.3-4.2-1.7-7.3-2.4-14.0-2.81.9-6.1-4.0 75> P0 <=95 -3.92.7-5.63.8-6.73.72.9-1.4-5.4-6.6-6.54.30.7-3.1-5.7-4.9-3.2-3.1-5.1-5.8-5.0-3.5-4.3-6.3-6.1 P0 >= 95 -1.41.3-0.90.9-0.90.8-1.1-1.5-1.2-0.8-0.90.3-1.6-1.3-0.9-1.4-2.1-0.6-1.2-1.3 -1.2 Difference between P2 and P1 (% of students in different Percentiles groups of P0)

10. Change in Rank under Procedure P1 Change in Rank under Procedure P2 APBR CBSECISC GTKKHPKLMPMR RJTNUPMGAM APBR CBSECISC GTKKHPKLMPMR RJTNUPMGAM Shared this Rank (27493) in P0 Board 2012AMAPBRCBSECISCGTHPKKKLMGMPMRPBRJTNUPTotal Students AIEEE aggregate marks of 13021042033615121141813122024555 How Students at Same Score (P0) in AIEEE Move Under P1 and P2 Variation at either end is higher under P1

11. In 2012, 19 Students (6 from AP, 10 from CBSE, 2 from Kerala and 1 from Rajasthan) AIEEE Aggregate Score 130 Board Specific Percentile Score 93

12. Actual Performance of CBSE Students in AIEEE 2012 [Matched Cases] 39.58 of all AIEEE candidates are CBSE students. However, this groups constitutes – 30.19 of the top 100 AIEEE rank holders, – 32.50 of the top 1,000 AIEEE rank holders, – 36.11 of the top 10,000 AIEEE rank holders, – 40.75 of the top 100,000 AIEEE rank holders.

13. P0-Current Procedure Procedure 1 0-1010-2020-3030-4040-5050-6060-7070-8080-9090-99 99- 99.99 >99.99Total 0-1061.6121.258.393.812.121.200.840.500.240.060.00 100 10-2024.2534.7520.199.815.172.651.611.000.480.090.00 100 20-307.5127.1327.3517.899.535.322.851.540.740.130.00 100 30-401.6112.6625.0025.6117.129.184.802.621.160.220.00 100 40-500.253.4413.2123.9025.9417.728.884.311.950.400.00 100 50-600.060.634.2213.7325.2127.5117.287.543.180.660.00 100 60-700.040.060.743.9713.1427.4430.8316.336.151.300.00 100 70-800.030.010.030.322.2610.0429.1238.1816.603.410.00 100 80-900.000.01 0.000.050.564.7928.0351.5415.020.00 100 90-990.00 0.010.7721.3174.143.780.00100 99-99.990.00 32.6866.600.72100 >99.990.00 70.5929.41100 P0-Current Procedure Procedure 2 0-1010-2020-3030-4040-5050-6060-7070-8080-9090-99 99- 99.99 >99.99Total 0-10 64.6723.537.682.500.950.340.180.100.040.010.00 100 10-20 22.3337.2223.6210.553.891.480.580.220.100.010.00 100 20-30 6.3325.5429.6821.2910.944.181.380.480.160.020.00 100 30-40 1.3310.6223.7227.4220.9610.753.751.100.320.040.00 100 40-50 0.182.6511.1822.5627.6821.7110.153.050.760.080.00 100 50-60 0.040.423.1911.3723.1929.9922.097.931.590.190.00 100 60-70 0.010.060.483.0210.6724.7634.3121.274.950.480.00 100 70-80 0.000.010.020.221.658.0625.3342.2920.421.990.00 100 80-90 0.00 0.030.343.8123.7356.0915.990.00 100 90-99 0.00 0.6518.6277.123.600.00100 99-99.99 0.00 31.0368.270.70100 >99.99 0.00 68.6331.37100 How Students are Moving from P0 under P1 and P2 Student remained in P0 Group Student migrated from P0 Group Remaining Moved Up Only Remaining Moved Dwn Only Move Either Up/Dwn All India

14. P00-1010-2020-3030-4040-5050-6060-7070-8080-9090-9999-99.99>99.99 AM1.4 1.31.21.00.80.70.50.30.10.0 AP8.09.09.19.29.510.310.411.713.217.423.731.4 BR14.212.311.310.19.27.96.44.93.32.20.40.0 CBSE21.026.528.733.135.939.944.549.756.361.865.566.7 CG3.32.82.52.21.81.51.00.70.30.10.0 CISC1.41.81.92.22.32.62.83.23.84.23.62.0 GO0.1 0.00.1 0.0 GT5.94.65.85.16.15.96.26.04.92.61.30.0 HP1.41.51.31.21.00.90.70.50.20.10.0 JH4.84.13.43.02.52.11.41.00.60.20.0 JK0.80.7 0.6 0.50.40.30.20.10.0 KK1.01.21.31.41.51.82.02.32.72.62.10.0 KL2.33.02.93.3 3.53.83.73.22.10.50.0 MG0.10.0 0.1 0.0 MN0.1 0.0 0.10.0 MP7.26.35.85.04.63.83.22.31.51.20.90.0 MR0.8 0.70.50.60.50.40.30.20.10.0 MZ0.0 NIOS0.4 0.3 0.2 0.10.0 NL0.1 0.0 PB2.62.32.22.12.01.61.41.20.80.40.10.0 RJ9.38.68.48.07.46.76.04.93.82.81.20.0 TN3.1 3.53.33.53.2 2.81.90.60.10.0 UK1.61.51.21.00.90.80.60.30.20.10.0 UP9.18.07.26.55.75.14.33.11.90.70.20.0 Total100.0 % of Students under different Percentile under P0

15. P10-1010-2020-3030-4040-5050-6060-7070-8080-9090-9999-99.99>99.99 AM1.31.21.31.2 1.10.90.80.6 0.30.0 AP9.79.39.29.39.610.010.611.513.015.816.95.9 BR10.710.410.29.79.68.77.86.95.33.40.80.0 CBSE29.631.933.134.836.138.641.445.348.954.767.788.2 CG2.42.3 2.01.91.71.31.10.80.50.0 CISC2.02.12.2 2.32.42.73.03.43.54.52.0 GO0.1 0.0 GT5.45.35.55.65.85.95.75.54.93.72.42.0 HP1.2 1.1 1.00.90.80.60.50.40.10.0 JH3.53.43.0 2.72.41.91.61.20.70.30.0 JK0.70.6 0.5 0.40.30.20.0 KK1.4 1.31.51.61.71.92.12.22.51.82.0 KL3.03.13.0 3.13.23.33.2 2.61.30.0 MG0.0 0.1 0.0 MN0.0 0.10.0 MP5.65.45.24.94.64.13.73.02.62.10.80.0 MR0.80.7 0.6 0.50.60.4 0.10.0 MZ0.0 NIOS0.3 0.20.10.0 NL0.1 0.0 PB2.12.0 1.91.81.61.41.10.70.30.0 RJ8.48.17.97.57.06.66.15.45.04.32.00.0 TN3.0 3.23.13.33.13.02.72.41.50.30.0 UK1.31.11.01.10.90.80.70.50.40.30.0 UP7.46.86.56.25.85.44.84.13.22.00.50.0 Total100.0 % of Students under different Percentile under P1

16. P20-1010-2020-3030-4040-5050-6060-7070-8080-9090-9999-99.99>99.99 AM1.5 1.31.21.10.70.60.50.20.0 AP7.58.08.38.79.410.111.112.514.318.120.19.8 BR14.312.811.810.89.38.16.34.63.01.40.20.0 CBSE19.024.228.232.035.639.945.651.056.662.871.286.3 CG3.63.12.62.21.81.30.90.50.30.10.0 CISC1.31.71.82.12.32.52.73.34.04.14.52.0 GO0.0 0.1 0.0 GT5.15.35.55.76.3 5.84.52.50.90.0 HP1.61.51.41.21.10.80.60.40.20.10.0 JH5.34.53.63.12.51.81.30.80.40.20.0 JK1.00.80.70.6 0.50.40.2 0.10.0 KK0.91.11.21.31.61.82.02.32.72.81.62.0 KL2.42.83.1 3.23.63.73.63.32.10.30.0 MG0.0 0.1 0.0 MN0.1 0.00.10.0 MP7.76.65.95.24.53.72.92.11.61.10.20.0 MR0.9 0.7 0.6 0.4 0.30.20.10.0 MZ0.0 NIOS0.4 0.30.40.30.2 0.10.0 NL0.1 0.0 PB2.62.42.32.22.01.71.51.00.60.30.0 RJ9.89.28.77.87.26.75.64.83.82.60.60.0 TN3.03.23.43.5 3.22.81.70.50.0 UK1.81.51.31.00.90.70.50.30.1 0.0 UP9.98.57.46.76.04.83.92.71.50.60.10.0 Total100.0 % of Students under different Percentile under P2