Shield-maidens, fact and fiction


Ed West has a post up about the pervasiveness of shield-maidens in modern dramatizations of the Viking culture: The hunt for the kick-ass Viking girlboss. In terms of how it is depicted, there is a ludicrousness to it all. At least in Game of Thrones Gwendoline Christie is 6’3 and not particularly delicate of build. West points out how unrealistic it is that Scarlett Johansson’s “Black Widow” character can take down men far larger than her, but Johannssen is aware of how stupid it all is. When asked by a fawning late-night talk show host (I believe it was Steven Colbert) how she did all those things, she stated plainly that they made it seem like she could do all those things. At 5’3 Johannssen must be conscious of the physical differences between men and women.

Here’s a paper on arm strength differences between men and women:

Going beyond the sex “grip strength” binary

Jesse Singal brought this piece in Deadspin, She’s Got The Strength, But Who Has The Power?, to my attention.

Some very interesting sections:

When we shove the concept of athletic ability—strength, for instance—into the same black-and-white binary that we try to put gender into, we’re wrong. There is no stark line separating what men can do athletically and what women can. Some women, in fact, are bigger, faster, and stronger than some men. A large data set analyzed for a 2018 study looked at the body composition and endocrine profiles of 689 elite cisgender athletes in various sports. When it came to physical attributes there was complete overlap between the men and women analyzed, McKinnon pointed out. For instance, the shortest person in the data set was male, not female. The lightest male weighed the same as the lightest female. There were men athletes and women athletes who had testosterone levels that hit the top of the chart and the bottom. Simply put, the range of any physical characteristic within a sex, (like, for instance, the six feet of difference between the shortest man in the world and the tallest man) is far greater than the average difference in height between the average man and the average woman (five inches). And elite athletes tend to live at the far ends of these spectra anyway.

USA Powerlifting’s response to transgender athletes is head-spinning. The thing about all this talk equating hormone replacement therapy to doping, and the threat to “biological females,” and the “unfair advantages” of “male puberty,” is that it’s based entirely on social perceptions of gender.

“There’s absolutely no scientific evidence at all that supports their position,” said Rachel McKinnon, an expert on athletes’ rights and a professor of philosophy at the College of Charleston, and a world champion track cyclist to boot.

Recently a very successful person told me that mathematical intelligence is probably overrated in comparison to verbal intelligence. It is true that some women are bigger, faster, and stronger than some men, and therefore a lot of social policy follows from this truth? Well, empirically that seems to be the case today.

Despite the irrefutable sophistication of words, I decided to pull some data from the National Center for Health Statistics. These data are useful because they separate by sex and age (and in some cases race/ethnicity). Rather than focusing on ranges, I was curious about the distributions for two characteristics:

  • Height in males and females of a range of ages and between the sexes
  • Dominant hand grip strength in a range of ages and between the sexes

In some cases, there were age intervals, so I simply took the midpoint (e.g., 25-29 becomes 27). Also, they had an 80 and over category. I just left that as 80.

First, let’s look at the age. The figure below shows the distribution of height for males and females over the years, with intervals along with two standard deviations for each age.

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In grip strength a woman in the 90th percentile would be at the 10th percentile for men


In relation to the title of this post, it is more accurate to say that a 35 year old British woman who is in the 90th percentile, at 39 kg, would be at the 10th percentile in 35 year old British men. But she would be at the 50th percentile for a 70 year old man. Another way to look at it is that an average 35 year old woman is as strong as an average 80 year old man.

Also of interest, 90 year old men have stronger grip strength than 10 year old boys (25 kg vs. 17 kgs) but 90 year old women have weaker grip strength than 10 year old girls (14 kg vs. 16 kgs). There is a major difference in life trajectory. Men and women start off with the same upper body strength as boys and girls in elementary school. But between ages 10 and 30 years men really outpace women.

Here’s a chart I constructed from the data with male an female at 10th, 50th, and 90th, percentiles:

Look at what happens to girls/women in the 90th percentile between 10 and 30. Because girls develop faster they are highly competitive with boys up until around 15, and then the “great grip divergence” kicks in. Both men and women get stronger between 20 and 30 (to my surprise), but men gain a lot more. At age 30 in standard deviation units the average women is about two standard deviation units below the average man. This would put the average women at the 2.5th percentile of men assuming a normal distribution. The raw table is below the fold at the bottom of this post. The paper is Grip Strength across the Life Course: Normative Data from Twelve British Studies.

The data to the left are from the paper Hand-grip strength of young men, women and highly trained female athletes. It is a German study, and compared three populations: normal men, normal women, and elite national level athletes in Germany in judo and handball. Judo and handball were selected because grip strength are at a premium in these two sports.

To their surprise the average female athlete was at the 25th percentile for males.

Many people will find this post a bit ridiculous. Who doesn’t know that men aren’t stronger than women?

First, there are some academics who believe that increased training will allow women to converge with men in strength, and therefore they propose to end sex segregation in sports. Proponents of this view say thinks like this:

Could that change? Could women start catching up with men again? After all, people used to say women were unable to handle political office. Even the slowest-converging lines eventually do merge; the truth is nobody knows for sure if that’s the case here. The history of women in sports is a history of being gradually allowed access to social privileges which have made them better athletes, and there could yet be undiscovered factors at play that could make the gap smaller.

There’s no comparison between political office and athletic performance. Second, the slowest converging lines do not eventually merge by necessity.

Second sometimes it is good to have numbers. I am not in the habit of getting into fights with women, ten year olds, or senior citizens, so I don’t have a quantitative grasp of how I “stack up.” I don’t beat my children so I don’t have a good sense of how much stronger than them I am, though my parents did beat me on occasion so I have an intuition about how it is on the other end. My grip strength is probably five times greater than my daughter’s. Good to know.
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