Tests:

2018 was a mixed year for India in Tests as they won and lost seven matches each in the 14 Tests they played this year. The biggest achievement for the Indian team in the format in 2018 will be the Test wins in Johannesburg, Trent Bridge, Adelaide and Melbourne.
Here are statistical highlights of the Indian players in Tests in 2018.
Team
Highest innings total: 649/9 declared vs West Indies, Rajkot
Lowest innings total: 107 vs England, Lord's
Biggest win (in terms of innings): Innings and 272 runs, vs West Indies, Rajkot 10 wickets, vs West Indies, Hyderabad
Biggest win (in terms of runs): 203 runs, vs England, Nottingham
Biggest win (in terms of wickets): 10 wickets, vs West Indies, Hyderabad
Batting

Most runs: Virat Kohli (1322 runs in 24 innings)
Most hundreds: Virat Kohli (5)
Most fifties: Virat Kohli and Ajinkya Rahane (5 each)
Highest average (300 runs minimum): Virat Kohli (55.08)
Most fours: Virat Kohli (144)
Most sixes: Rishabh Pant (16)
Most fours in an innings: Virat Kohli (22 vs England, Edgbaston)
Most sixes in an innings: Ravindra Jadeja (5 vs West Indies, Rajkot)
Most runs from boundaries in an innings: Shikhar Dhawan and Virat Kohli (84 runs each against Afghanistan, Bengaluru and England, Edgbaston respectively)
Highest strike-rate (at least 300 runs): Shikhar Dhawan (71.49)
Most ducks: Mohammed Shami (6)
Highest individual score in an innings: Virat Kohli (153 vs South Africa in Centurion)
Highest individual score in a match: Virat Kohli (200 vs England, Edgbaston)
Most balls faced: Virat Kohli (2433)
Highest partnership: Prithvi Shaw and Cheteshwar Pujara, 206 runs for the second wicket against West Indies, Rajkot
Bowling:

Most wickets: Jasprit Bumrah (48)
Best average (Minimum 10 wickets): Jasprit Bumrah (21.02)
Best strike-rate (Minimum 10 wickets): Umesh Yadav (38)
Most balls bowled: R Ashwin (2316)
Most runs conceded: Mohammed Shami (1268)
Least runs conceded (Minimum 50 overs): Bhuvneshwar Kumar (203)
Most five-wicket hauls: Jasprit Bumrah (3)
Most 10-wicket hauls in a match: Umesh Yadav (1)
Best bowling figures in an innings: Jasprit Bumrah (6/33 vs Australia, Melbourne)
Best bowling figures in a match: Umesh Yadav (10/33 vs West Indies, Hyderabad)
Fielding:

Most dismissals by a wicketkeeper: Rishabh Pant (42)
Most catches by a wicketkeeper: Rishabh Pant (40)
Most stumpings: Rishabh Pant (2)
Most catches by a fielder: KL Rahul (17)
Most dismissals in an innings by a wicketkeeper: Rishabh Pant (6 vs Australia, Adelaide)
Most catches in an innings by a wicketkeeper: Rishabh Pant (6 vs Australia, Adelaide)
Most stumpings in an innings by a wicketkeeper: Rishabh Pant (twice) and Dinesh Karthik (1 each)
Most catches by a fielder in an innings: KL Rahul (4 vs England, Nottingham)
Most dismissals in a match by a wicketkeeper: Rishabh Pant (11 vs Australia, Adelaide)
Most catches in a match by a wicketkeeper: Rishabh Pant (11 vs Australia, Adelaide)
Most stumpings in a match by a wicketkeeper: Rishabh Pant (twice) and Dinesh Karthik (1 each)
Most catches by a fielder in a match: KL Rahul (7 vs England, Nottingham)
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