# Dr Rush Asks: Is Skydiving Safer Than . . . Driving?

## Introduction

I am Dr. Rush. I have a PhD in Pure Mathematics and I like getting the truth out of data.

In the following article I will attempt to answer the question of whether skydiving, in all its forms, is actually safer than driving. I say ‘attempt’ because the question is sufficiently vague to allow multiple interpretations, and statistics is as much an art as it is a science.

We will definitely come to a conclusion, but the flavour of that conclusion is determined by assumptions and choices made by the investigator. Data, after all, is an abstraction; an incomplete set of measurements taken to try and capture some very complicated reality – a reality that usually has too many variables to conceive, let alone document.

I will try to underline and bolden any assumptions I make. It also gives you a more comprehensive overview of the claims being made so that you can see the truth – the legitimate mathematical machinery, if you will – before it is ham-fistedly translated into a sound-bite.

## Skydiving, Safer Than Driving?: Where & When?

Alright, now we’re ready to start. The first thing to be done is agree a location. Given the level of detail on the British Parachute Association’s website I will stick with Great Britain, comparing skydiving and driving within this country, as opposed to elsewhere in the world.

This is no small point-of-fact, since the safety regulations for parachuting will vary wildly between countries, and so too the number of injuries (if they are even reported) and thus our conclusions.

We also need to decide a timeframe for this investigation, i.e. what years are we going to use to build our assertions on? Again, I use the BPA as a governing factor in this decision, since they have detailed records for the years **2014 – 2018**. It is a period recent enough to be relevant, but also long enough to iron out any trends.

In the interest of full disclosure, they do have data for the 20 year stretch 1998 – 2018, but I feel any improvements due to contemporary advances in technology (like better equipment, say) would be cancelled out by injuries earlier on in the interval.

If the aim is to get a feel for whether skydiving is safer than driving, now, (and not twenty years ago) then we should not look too far into the past.

## What is Skydiver Safety?

But what do we even mean by the term safety? (We’re approaching one of those subjective leaps I flagged earlier in the article).

Presumably, we mean resulting in fewer injuries or fatalities. But the controversy then arises as to what we consider an injury.

Given the strict regulations of the BPA, all injuries (no matter how minor) will be recorded if reported. Consequently, even a negligible affliction like a bruise will be classed as an injury and preserved in the data.

But this causes an inconsistency between the activities of driving a car (**note that we will not consider motorcycles, heavy-goods or large-goods vehicles**) and skydiving, as you are unlikely to report a bruise incurred whilst motoring to work. Indeed, who would you even report it to?

We also have to consider how you quantify a drive.

With skydiving, each jump is clearly logged with a beginning and end. But a drive can’t always be broken down into such isolatable units, nor is each trip archived by some higher authority.

I’m not arguing that it should be, just highlighting that we will need to absorb this asymmetry into our investigation.

## What is Driver Safety?

Bearing the above details in mind, I suggest we measure the safety of driving (a car) by calculating the percentage of driver injuries for each year from 2014 to 2018 (of any severity) and divide through by the respective number of drivers in the country.

This should give a summary statistic that states the average number of accidents per driver, which we can interpret as the chance of being in an accident that year if you were the driver.

However, since I don’t have access to how many drivers were in Great Britain, I will instead use the freely available number of registered cars as a surrogate. I appreciate this might not be wholly accurate as individuals may share cars or own multiple ones, and undoubtedly there are those who don’t register them at all. But this will just have to do. Statistics is a subject of compromise.

We should also stress that by casualties, we are referring just to the driver. Other people such as pedestrians, passengers and cyclists injured in a road-side accident will be not included in the figure.

This leads to an argument that skydiving is safer than driving when considering its impact on others; in a jump it is unlikely that you will injure anyone other than yourself (although it is possible, of course), but in driving there is a greater spectrum of casualties.

## Safety Data For Driving And Skydiving

So, using the Annual Reports on Road Casualties and Vehicle Licensing Statistics from the British Government website we obtain the following figures:

Year | Driver Casualties | Registered Cars (in millions) | (Driver Casualties/Registered Cars) × 100 |
---|---|---|---|

2018 | 65,107 | 31.5 | 0.207% |

2017 | 68,688 | 31.291 | 0.220% |

2016 | 75,207 | 30.9 | 0.243% |

2015 | 76,977 | 30.3 | 0.254% |

2014 | 79,297 | 29.6 | 0.268% |

Taking the average of the five years we obtain a value of 0.238%.

This is a statistic used to summarize the likelihood of a car-driver suffering an injury (of any severity) over a year, in the interval 2014 to 2018.

For skydiving we will compute a similar average, except this time divide the number of recorded injuries (of any severity) per year by the respective number of registered jumps.

This will give a summary statistic that gives the average number of injuries per jump. We can interpret this as the chance of an injury per jump.

Note that I have not bothered to distinguish between the different types of skydiving, e.g. tandem, static-line and accelerated free-fall, or the different heights you can jump from. I’m sure some are riskier than others, but given the broadness of the question I’m trying to answer I think it better just to lump them all in together.

We now reproduce the data from the BPA for the total number of injuries per jumps:

Year | Skydiving Injuries | Number of Skydives | (Skydiving Injuries/Number of Skydives)×100 |
---|---|---|---|

2018 | 145 | 303,882 | 0.0477% |

2017 | 143 | 315,290 | 0.0454% |

2016 | 168 | 333,955 | 0.0503% |

2015 | 154 | 325,254 | 0.0473% |

2014 | 170 | 344,607 | 0.0493% |

The average over these five years is 0.048%, meaning that between the years 2014 and 2018, there was a 0.048% chance that a single jump would result in an injury of any severity.

## Conclusion: Is Skydiving Safer Than Driving?

Since the 0.238% listed for the driver statistic is greater than the 0.048% listed for the skydiving statistic, we see (by the conditions assumed in the investigation) that the chance of injury for a single jump is less than the chance of injury for driving for a year.

Ergo, skydiving is safer than driving.

However, I have to stress the asymmetry here. We are comparing a single jump with driving for a year.

Now, if you were to make multiple jumps the risk would, of course, increase.

Let’s consider this for a moment: if we assume that injuries between jumps are independent, then the likelihood of any injury after n jumps is **(1 – (1- 0.00048)^n)**.

The reasoning behind this is simply that if 0.00048 (we are working with decimals now not percentages, so we have the extra zeros) is the probability of being injured during a jump, then **(1- 0.00048)** is the probability of not being injured.

Consequently, since we have assumed independence, the probability of not being injured after n jumps is **(1- 0.00048)^n**, and thus the probability of being injured at all after n jumps is **1 – (1- 0.00048)^n**.

Then, using logarithms, we see **it would take 5 jumps to exceed the risk of driving for a year.** This is something to reflect on.

And that’s it. If you’ve made it this far, then thank you for the time and focus. I’m well aware that what I’ve written here is going to have little impact. Those who already partake in the activity likely find the risk part of the rush and so are indifferent to any statistical analyses that vindicates their hobby – indeed, they might even oppose it.

However, if you are still undecided and are reading this article to help rally your resolve, then maybe freefalling to the ground, with just a sheet strapped to your back, isn’t for you. Or, take the should I go skydiving quiz to help you further.

LloydThis seems like a very sensible, and easy-to-follow way to assess the relative risk. Thanks for publishing it. I note that column 3 of the second table is an accidental duplicate of column 3 of the first table. It would be good if that could be fixed. Cheers from Australia!

AdrenalineNowThanks for your feedback, I’m glad you liked the article.

Yep despite two people proofreading the article, we both missed the duplicate column.

Thanks 🤙