Table 1 shows the percentage of candidates who qualified from six states (A to F) in 2021 and 2022, with the male:female ratio. Table 2 shows the totals appeared and overall qualified percentage.
| State | 2021 Qualified (%) | 2021 M:F | 2022 Qualified (%) | 2022 M:F |
|---|---|---|---|---|
| A | 18 | 5:4 | 20 | 28:17 |
| B | 16 | 3:1 | 12 | 5:3 |
| C | 12 | 7:5 | 16 | 11:5 |
| D | 16 | 13:11 | 15 | 15:11 |
| E | 25 | 13:12 | 22 | 15:9 |
| F | 13 | 8:1 | 15 | 11:9 |
| Year | Appeared | Qualified (%) |
|---|---|---|
| 2021 | 142000 | 45 |
| 2022 | 180000 | 52 |
In 2022, for state A, if four female candidates who qualified are not eligible, then what is the average number of female candidates who qualified and are eligible from all six states together in 2022?
The average is 5990, so the answer is 5990.
Total qualified in 2022 is 52% of 180000, which is 93600.
Female qualifiers by state in 2022 are found from each state's share and its female ratio.
For A it is 93600 times 0.20 times 17 by 45 minus 4, which is 7068 after removing the four ineligible.
For B, C, D, E and F the female counts are 4212, 4680, 5940, 7722 and 6318 respectively.
Their sum is 7068 plus 4212 plus 4680 plus 5940 plus 7722 plus 6318, which is 35940.
The average over six states is 35940 divided by 6, which is 5990.
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