These are the current FIDE Federations Rankings for male and female active chess

Chess

Chess is a two-player board game played on a chessboard, a square-checkered board with 64 squares arranged in an eight-by-eight grid. It is one of the world's most popular games, played by millions of people worldwide at home, in clubs, online, by correspondence, and in tournaments.Each player...

 players (as of December 2010). These rankings are also known as World Chess Rankings. The position of a country's federation in the list is defined by the average score of the 10 strongest players in that federation. The players' scores are calculated using the Elo rating system

Elo rating system

The Elo rating system is a method for calculating the relative skill levels of players in two-player games such as chess. It is named after its creator Arpad Elo, a Hungarian-born American physics professor....

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Men Ranking

Women Ranking

Rank Country Top 10 players average score 1  Russia 2731 2  Ukraine 2699 3  Mainland China 2652 4  Early Modern France 2651 5  Israel 2642 6  United States 2640 7  India 2639 8  Hungary 2634 9  Azerbaijan 2632 10  Armenia 2631 11  Germany 2629 12  Poland 2629 13  Kingdom of Bulgaria 2628 14  Netherlands 2624 15  Kingdom of England 2606 16  Georgia (country) 2604 17  Spain 2595 18  Cuba 2593 19  Serbia 2591 20  Czech Republic 2580 21  Belarus 2579 22  Kingdom of Romania 2577 23  Independent State of Croatia 2575 24  Argentina 2570 25  Sweden 2554 26  Greece 2553 27  Brazil 2551 28  Slovenia 2544 29  Uzbekistan 2538 30  Italy 2528 31  Slovakia 2527 32  Philippines 2526 33  Denmark 2523 34  Norway 2522 35  Bosnia and Herzegovina 2520 36  Vietnam 2515 37  Switzerland 2513 38  Iceland 2507 39  Kazakhstan 2502 40  Lithuania 2498 41  Canada 2493 42  Austria 2491 43  Peru 2487 44  Latvia 2486 45  Turkey 2485 46  Moldova 2482 47  Estonia 2478 48  Chile 2473 49  Egypt 2473 50  Iran 2472 51  Belgium 2470 52  Colombia 2464 53  Republic of Macedonia 2463 54  Mexico 2457 55  Kingdom of Montenegro 2446 56  Australia 2440 57  Finland 2436 58  Kingdom of Scotland 2420 59  Portugal 2418 60  Turkmenistan 2409 61  Indonesia 2397 62  Venezuela 2392 63  Singapore 2390 64  Mongolia 2389 65  Ecuador 2383 66  Republic of Ireland 2370 67  Bangladesh 2366 68  Kyrgyzstan 2360 69  Albania 2350 70  Paraguay 2347 71  Luxembourg 2345 72  Dominican Republic 2334 73  Tajikistan 2334 74  Costa Rica 2333 75  Algeria 2324 76  Uruguay 2323 77  Malaysia 2321 78  Iraq 2320 79  Wales 2320 80  New Zealand 2315 81  Morocco 2313 82  South Africa 2303 83  Syria 2294 84  Faroe Islands 2288 85  Zimbabwe 2282 86  Bolivia 2275 87  Tunisia 2273 88  United Arab Emirates 2251 89  Yemen 2248 90  Jordan 2239 91  Nicaragua 2237 92  Andorra 2233 93  Angola 2238 94  Japan 2230 95  Thailand 2224 96  Puerto Rico 2219 97  Lebanon 2215 98  El Salvador 2210 99  Monaco 2200 100  Guatemala 2188 101  Barbados 2187 102  Nigeria 2185 103  Panama 2182 104  Pakistan 2177 105  Zambia 2176 106  Uganda 2167 107  Palestinian territories 2162 108  Jamaica 2159 109  Libya 2154 110  Honduras 2146 111  Myanmar 2140 112  Sri Lanka 2140 113  Qatar 2139 114  Cyprus 2123 115  Botswana 2118 116  Trinidad and Tobago 2116 117  Sudan 2101 118  Ethiopia 2095 119  Liechtenstein 2093 120  Nepal 2092 121  Brunei 2089 122  Burundi 2088 123  Malta 2086 124  Kenya 2084 125  Namibia 2082 126  Jersey 2078 127  Mauritania 2073 128  Hong Kong 2064 129  Papua New Guinea 2039 130  Suriname 2036 131  Mauritius 2031 132  Mali 2028 133  San Marino 2024 134  Bahrain 2016 135  South Korea 2015 136  Seychelles 2013 137  Malawi 2007 138  Netherlands Antilles 2000 139  Aruba 1997 140  Sierra Leone 1996 141  United States Virgin Islands 1976 142  Cameroon 1974 143  Bermuda 1970 144  Madagascar 1968 145  Mozambique 1967 146  Haiti 1959 147  Guernsey 1933 148  Afghanistan 1914 149  Ghana 1873 150  Macau 1860 151  Maldives 1848 152  Fiji 1840 153  Solomon Islands 1779 154  São Tomé and Príncipe 1777 155  The Bahamas 1775 156  Chinese Taipei 1768 157  Palau 1716 158  Rwanda 1711 159  Guyana 1591

Rank Country Top 10 players average score 1  Russia 2483 2  Mainland China 2462 3  Georgia (country) 2445 4  Ukraine 2423 5  Hungary 2411 6  India 2398 7  Germany 2339 8  Poland 2334 9  Early Modern France 2333 10  United States 2332 11  Serbia 2323 12  Kingdom of Romania 2312 13  Kingdom of Bulgaria 2305 14  Cuba 2284 15  Slovakia 2283 16  Netherlands 2281 17  Czech Republic 2274 18  Vietnam 2261 19  Spain 2256 20  Slovenia 2252 21  Israel 2242 22  Kingdom of England 2240 23  Armenia 2237 24  Greece 2234 25  Independent State of Croatia 2214 26  Azerbaijan 2212 27  Belarus 2210 28  Latvia 2198 29  Lithuania 2195 30  Mongolia 2182 31  Argentina 2178 32  Kazakhstan 2178 33  Colombia 2160 34  Iran 2154 35  Uzbekistan 2152 36  Italy 2139 37  Bermuda 2129 38  Sweden 2128 39  Turkey 2127 40  Austria 2126 41  Switzerland 2124 42  Moldova 2118 43  Denmark 2098 44  Norway 2090 45  Guatemala 2085 46  Peru 2073 47  Turkmenistan 2070 48  Brazil 2068 49  Estonia 2065 50  Bosnia and Herzegovina 2061 51  Ecuador 2055 52  Myanmar 2052 53  Venezuela 2049 54  Lebanon 2049 55  Philippines 2036 56  Indonesia 2036 57  Canada 2024 58  Mexico 2008 59  Australia 2006 60  Kyrgyzstan 2001 61  Portugal 1997 62  Liechtenstein 1988 63  Belgium 1985 64  Kingdom of Montenegro 1977 65  Bolivia 1971 66  Chile 1967 67  Albania 1960 68  Luxembourg 1957 69  Republic of Macedonia 1956 70  Finland 1947 71  El Salvador 1936 72  Cyprus 1923 73  Botswana 1920 74  Wales 1917 75  Zambia 1914 76  Costa Rica 1908 77  Singapore 1897 78  Angola 1888 79  Dominican Republic 1886 80  Kingdom of Scotland 1882 81  New Zealand 1879 82  Bangladesh 1876 83  Iceland 1875 84  Netherlands Antilles 1873 85  Malaysia 1870 86  Thailand 1868 87  Jamaica 1867 88  Iraq 1856 89  Jordan 1845 90  Egypt 1844 91  Morocco 1844 92  Nicaragua 1844 93  Barbados 1835 94  Puerto Rico 1827 95  Japan 1824 96  Honduras 1822 97  Qatar 1821 98  Syria 1821 99  Tajikistan 1801 100  Sri Lanka 1798 101  Nepal 1794 102  Uruguay 1793 103  Pakistan 1791 104  Algeria 1784 105  Trinidad and Tobago 1776 106  Suriname 1770 107  Nigeria 1764 108  United Arab Emirates 1758 109  South Africa 1755 110  Monaco 1723 111  Faroe Islands 1707 112  Tunisia 1706 113  Yemen 1694 114  Paraguay 1688 115  Panama 1678 116  Republic of Ireland 1658 117  Libya 1602 118  Chinese Taipei 1575 119  South Korea 1555 120  Bahrain 1540 121  Macau 1462