Has any player bettered Shivam Dube's run of 36 undefeated T20Is?
And who is the Test centurion with the lowest batting average?

India has lost just two of the 41 T20Is Dube has featured in, and none of the last 36 he played • AFP/Getty Images
India actually lost two of Shivam Dube's first five T20 internationals (against Bangladesh and West Indies late in 2019), but since then he's played 36 more without tasting defeat: that includes four tied games (all won by India in a super over), a no-result and one match which was abandoned after the toss was made. His 34 successive wins (ignoring no-results and abandonments, but including super-over victories) is easily a record for men's T20Is: Pascal Murungi of Uganda has not lost any of his last 26 matches (his most recent was in December 2024), while Jasprit Bumrah is currently on a run of 23.
There are no great surprises in the aggregate numbers: Muthiah Muralidaran, the top Test wicket-taker, leads the way with 47 stumping victims, with Shane Warne second on 36, one ahead of another Sri Lankan, Rangana Herath. The Australian offspinner Nathan Lyon currently has 28 stumping victims, as did Clarrie Grimmett.
The match you're referring to was the fourth in the series in the Caribbean in July: West Indies made 205 for 9 against Australia in Basseterre, with nine batters reaching double figures. This was actually the third such instance in T20 internationals, and the second this year: Austria (223 for 8) did it against Slovenia in Latschach in May, which followed the first instance, by Tanzania (176) against Uganda in Kigali (Rwanda) in December 2022.
I think there are actually ten people who fit the bill here. New Zealand's Stephen Fleming held on to 171 catches in the field, but never bowled in his 111 Tests, let alone took a wicket. He did not take any in first-class cricket either, although he did pick one up in an ODI (Marcel Schewe of the Netherlands during the 1996 World Cup in Vadodara).
The lowest career average by a batter with a Test century is 12.96, by the West Indian fast bowler Jerome Taylor, whose 106 against New Zealand in Dunedin in 2008 - which remained his only century - was over 2.5 times his previous-highest first-class score, 40 for Leicestershire against Derbyshire in 2007.
In the answer to the question about the man with the most Test runs but the fewest nineties, I didn't spot that Greg Chappell's only score in the nineties was not out - an undefeated 98 against England in Sydney in January 1980. This means that Greg has the most Test runs without ever being out in the nineties - his 7110 just shades the 6996 of Don Bradman.
Steven Lynch is the editor of the updated edition of Wisden on the Ashes