Math Controls EVERYTHING... How Runners Create a Distribution Curve

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Let me explain the science…

Our lives are constantly influenced by mathematics and statistics, even during running events such as the Hakone Ekiden Yosenkai half marathon. Here, we observe runners forming a natural normal distribution curve or a bell curve.

This happens because of the natural variation in human abilities, fitness, and endurance. In a normal distribution, most participants run close to the average speed. This is because the majority of runners have comparable fitness levels, training histories, and physiological capabilities, leading them to have similar speeds come race day. This large cluster forms the median or peak of the distribution.

However, a smaller percentage of runners are significantly faster or slower. The fastest runners, often with exceptional training and genetics, stretch out into faster standards of deviation. Meanwhile, less experienced or less physically conditioned runners form the opposite tail. These outliers help create the 'tails' of the distribution.

This completely natural distribution during a race reveals how biological and environmental factors shape athletic performance. It’s a perfect example of how large datasets in real-world settings often settle into a normal distribution, allowing us to predict and understand trends—even in unexpected places!

#science #scienceexplained #learning #education #statistics

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A bell curve of how well they are doing in that race. Neat

ChrimsonChin

Fun Fact: when you start running a marathon they dont let normal runners start running until well after 2 minutes of running for elites. Yet that lost time is never accounted for at end. "Fair" is not on menu

draqonofwhitestars

Fun Fact, in statistics there is an idea called the central theorem. It states that if you take a bunch of independent factors that influence one outcome and average them together across many people, you will always receive a distribution curve. Statistics exists in all places!

Frontier_Science

Me literally absolutely fed up with my stats class today and hops on you tube for some mental relief. The first dam thing I see 😤

og_of_life

If so then they are at a constant speed, but accelerated at different speeds

brandonampang

"If only there was a channel dedicated to science" my man... have you been on YouTube?

leatherneck

“If only there was a channel dedicated to science” there are thousands of them

Marcushouser

Normal Distribution Curve in which the median is more than extreme ends.

anupamverma

For all yal wondering: this is to minimize drag. Even running 1/4 or 1/5 in the guys slipstream ahead can ease the drag coefficient making you work less for the same amount of output.

So the guy at the tip is obviously the threshold and it curtains out for the rest enjoy otherwise it would fill the road. The fastest are directly behind the car since the disrupts a large part of the airflow

VenturiRSA

No one gonna notice its a group of black guys in the lead and the pack is white 😅😂

quizillafreak

So correct me if I’m wrong, the people closest to the grass/following the curve of the oncoming turn have less distance of travel than those on the outside. Will this flatten out the bell curve until they exit the turn and the bell curve will reappear yet slightly further back thus showing the expenditure of energy of the runners on the outside trying to keep up?

Prickass