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On the evidence of the IAAF, the 100th best male athlete is significantly faster and/or stronger than a female. Here are a few examples:

Event     100th Man  1st Woman

100m          10.15      10.85

1500m       3:38.28    3:56.68

Marathon    2:08:46    2:18:11

High Jump      2.23       2.04

Long Jump      7.91       7.05

Javelin       77.27      68.92

And if men are more athletic at athletics, they should have the same advantage in team games such as football or rugby, but direct competitions, and therefore comparisons, aren't available.

However, this article has some revealing opinions from champions of both sexes into men's vs. women's tennis.

The fuller quote is talking about "the top level in almost any sport," and that's almost the literal definition of the Olympics, where more than 100 of the top athletes compete.

Here's the events & their records from Wikipedia's List of Olympic records in athletics, I'll try formatting them by sport, with the mens & women's records side-by-side for easier comparison:

                              Records

Event                   Men's       Women's

=====                   =====       =======

100m                    9.63        10.62

200 metres              19.30       ♦21.34

400 metres              ♦43.03      48.25

800 metres              ♦1:40.91    1:53.43

1,500 metres            3:32.07     3:53.96

5,000 metres            12:57.82    14:26.17

10,000 metres           27:01.17    ♦29:17.45

Marathon                2:06:32     2:23:07

110 metres hurdles      12.91       12.35

 * only 100m hurdles for women

400 metres hurdles      ♦46.78      52.64

3,000 m steeplechase    8:03.28     8:58.81

4×100 m relay           ♦36.84      ♦40.82

4×400 m relay           2:55.39     ♦3:15.17

20 km walk              1:18:46     1:25:02

High jump               2.39 m      2.06 m

Long jump               8.90 m      7.40 m

Pole vault              6.03 m      5.05 m

Triple jump             18.09 m     15.39 m

Shot put                22.52 m     22.41 m

 * men's shot weighs 16 lb, women's 8.8 lb

Discus throw            69.89 m     72.30 m

 * men's weigh 2kg/4.4 lb, women's 1kg/2.2 lb

Hammer throw            84.80 m     82.29 m

 * men's weigh 16 lb, women's 8.82 lb

Javelin throw           90.57 m     71.53 m

 * men's weigh 800g/1.76 lb, women's 600g/1.32 lb

Decathlon               8893 pts    ♦7291 pts



(♦ denotes a performance that is also a current world record.

 Statistics are correct as of 19 August 2016.)

It appears that the men's records are faster/longer for everything except the item throwing events. But given that the weight of the shot, discus, and hammer are twice as heavy for men, and the records are still within 4%, they still seem in line with the other event results.

The question can not be honestly answered as it is stated remarkably imprecise ( in more than two instances ).

Success in "sport" disciplines depend on sportive qualities that are distinct from each other ranging from fast strategic thinking (chess) over teamwork (i.e. climbing, ice-stick shooting, curling and alike team sports) to athletic capabilities.

While many of these qualities are not tangled to sex, muscular strength, fast power and endurance performance are.

There are physiological differences in muscular composition between males and females in homo sapiens that are rooted in sex driven hormonal differences that beside direct impact interact in various ways with growth and motoric ability. Some of these sex differences might be overcome by hormonal substitution combined with training at least in young fit individuals (this is because the bone composition / tendonous apparatus needs to adapt to muscular strength and the timeframe for bone composition change is early in lifespan).

Therefore only in "sports" that depend foremost on power of the muscular skeletal system in a challenge of comparable conditioned man and women, the males are unlikely to be beaten even by exceptional strong females i.e. olympic weightlifting (https://en.wikipedia.org/wiki/Olympic_weightlifting)

Some selective literature:

Sex-Based Differences in Skeletal Muscle Kinetics and Fiber-Type Composition
K. M. Haizlip, B. C. Harrison, L. A. Leinwand
Physiology (Bethesda) 2015 Jan; 30(1): 30–39. doi: 10.1152/physiol.00024.2014
PMCID: PMC4285578

The exercise sex gap and the impact of the estrous cycle on exercise performance in mice
Aderbal S. Aguiar, Jr, Ana Elisa Speck, Inês M. Amaral, Paula M. Canas, Rodrigo A. Cunha
Sci Rep. 2018; 8: 10742. Published online 2018 Jul 16. doi: 10.1038/s41598-018-29050-0
PMCID: PMC6048134

Sex-Related Differences in Muscle Composition and Motor Unit Firing Rates of the First Dorsal Interosseous: 114 Board; Wray, Mandy & Sterczala, Adam & Miller, Jonathan & L. Dimmick, Hannah & Herda, Trent. (2018) #3 May 30 9. Medicine & Science in Sports & Exercise. 50. 8. 10.1249/01.mss.0000535111.46582.39.

Sex-Related Differences in Gene Expression in Human Skeletal Muscle
Stephen Welle, Rabi Tawil, Charles A. Thornton
PLoS One. 2008; 3(1): e1385. Published online 2008 Jan 2. doi: 10.1371/journal.pone.0001385

Billard "sports", including 9 ball and straight pool, are examples of activities where strength plays a very minor role, yet the men are at a higher level than the women. Part of this could be simply lack of interest of women in certain "sports", reducing the pool of women that could be competitive.

On the other hand, with Indy cars, Danica Patrick won a few races, and she ran mid-pack when she switched to Nascar oval tracks. For motorcycle road course races there are very few women, probably an issue with the risk factor.

Women have proven to be competitive in drag racing for pro-stock motorcycles and top fuel, and women have won yearly championships in top fuel events. Although top fuel is mostly the car (clutch is mechanically programmed, the driver just pegs the throttle, and the key driver factor is how close they can get to the allotted 0.4 second reaction time without going under (red light), most of the races are determined by the car, except for some races that are very close. Enough of those close races should occur within a season, so winning a championship shows women are competitive. The motorcycles have pre-programmed rev-limiters for launch, but the rider does have to control the clutch (I'm not sure if these are pre-programmed for pro-stock motorcycles).

I can give a counterexample of a physical sport where only three male athletes are definitely better than the best female.

The sport is hard rock climbing, where "hard" means "pushing the limits of what is humanly possible" (as opposed to competition climbing, which necessarily does not allow much time to figure out optimal movements, let alone specialized training).

This website has a complete list of known ascents of sport climbs in the highest (5.15 Yosemite scale) difficulty grade. You will (as of 2018-12-26) find 76 unique athletes on that list, and 3 of them are female (Margot Hayes, Angela Eiter and Anak Verhoeven). The ratio becomes even smaller if we restrict the list to difficulty 5.15b and higher, where we have only 19 male athletes as good or better than the best female athlete (Angela Eiter) - and only 3 are definitely better.

Sidenote: the best male athlete, Adam Ondra, dominates the entire field by a ridiculous margin.

Caveats:

• the list is potentially incomplete since these ascents are not done at events that have an "official" status, nor is there an official recording. But given how much of an achievement any ascent at this level is, it's highly unlikely to be kept secret or not reach anyone really following the news in climbing, especially since most athletes on the list are professionals whose income depends on being worth sponsoring.


• Grading is somewhat subjective, especially in routes that have only seen a single ascent. But inflating the grade of a new route you created only to have it downgraded by others is seen as highly embarrassing (unless it's a small difference) and something that climbers try very hard to avoid.