Muscular Strength in Women Compared to Men | Livestrong.com
From the article:
Muscle Numbers
Studies have proven again and again that men have a greater amount of skeletal muscle than women. In one such study that examined 468 men and women and was published in a 1985 issue of the “Journal of Applied Physiology,” researchers determined that men had an average of 72.6 pounds of muscle compared to the 46.2 pounds found in women. The men had 40 percent more muscle mass in the upper body and 33 percent more in the lower body.
Strength Translation
Men not only have more muscle, but pound for pound, their muscle is slightly stronger than a woman's -- about 5 to 10 percent, says Lou Schuler in "The New Rules of Lifting for Women." A study reported in a 1993 issue of the "European Journal of Applied Physiology and Occupational Physiology" attributed this strength difference to larger muscle fibers in men.
Back to "average" when talking in generalities without getting into tons of scientific papers done to show where the "average" came from. In the scientific world, when looking at human factors a bell curve has been used. That means that about 70% (68% if you REALLY want to be anal about the details) of the population fall within what has been measured and deemed "average" in the range (+/- 1 standard deviation of the exact middle point). Going further, 95% of the population is 2 standard deviations from the middle point, and 99.7% are 3 standard deviations away. Each of those deviations would also have a range for them. For example, the shortest man is at one extreme of the curve and the tallest man at the other end, they would be more than 3 standard deviations from the middle. So, breaking it down further, you have about 15% of the population that is either taller than the average height range or shorter than the average height range. The same is true of everything else that can be measured in human characteristics.
Now, you can further define your parameters to "test your hypothesis".
Here is a chart prepared using 8.4 million lifts on the bench press (at the bottom of the page you can link to other lifts), breaking it down between male and female, bodyweight and experience levels (beginner/novice/intermediate/advanced/elite. An elite 200 pound female has an average bench press of 253 lbs. A beginner 200 pound male has an average bench press of 138 lbs. An intermediate female has a bench press of 140 lbs.
Bench Press Standards for Men and Women (lb) - Strength Level