No surprises, given how much I love both mathematics and technology (and have among my heroes similarly-inclined women such as Professor Dame Celia Hoyles) that I have a sleep tracking app that lets me track my sleeping hours, wakefulness and movement. This is achieved via movement sensors in the phone, kept under the pillow. I originally used this as a way of allowing me to set an alarm in the morning that sounded at a time based on my most wakeful period – as it has a window rather than one specific time – and found the subsequent wake-up call to be much more pleasant. But now, after nearly four years’ worth of data, I have some delicious analysis just waiting for me to take a bite – will you join me?
My first question was a deceptively simple one: what is my mean number of hours’ sleep per night? When looking at the data to answer this question, something interesting happened: the weekly data shows as a bar chart, but becomes a line graph when much more data is added, like this:
![](data:image/png;base64,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)
Something to note is that the data is incomplete: this is easily explained by noting that I only record my sleep when I set an alarm, meaning lie-in days are invisible in terms of data points (there are also some inevitable glitches where data seems to be missing anyway). This is likely to skew the overall data pattern away from the really high amounts of sleep and towards the lower end, of course. There are also a few outliers visible on the first graph: around 13 hours and around 3 hours per night (!). The app helpfully provides some contextual information within which one can place one’s own sleep stats: you can see that my average over several years is pretty healthy (and that those in Saudi Arabia appear to sleep very little...)
So: is the second graph a valid representation of the data?
If you’re a mathematics teacher, you might be tempted to answer an instinctive ‘no’. I confess to being an occasional sufferer, in my teaching days, of ‘data terror’ – a condition caused by worry over whether you have represented data in a way that might well cause a seasoned statistician sneer at you. For example, the conventional wisdom/golden rule surrounding representing discrete data in its two broad categories (quantitative and qualitative) in two different ways on bar charts – and reserving histograms for continuous data – has often kept me awake at night. If it’s so straightforward to define these categories and logically deduce how we might represent them in graphs, why do we – pupils and teachers – get it ‘wrong’ so often?
What if the scale of the data we are considering determines whether the data can be perceived as discrete or continuous? Essentially, 'large' discrete sets can be mathematically manipulated as continuous; a choice of minimal (resolution) unit converts a continuum to a discrete set. Hugh Berkhardt puts it thus: ‘The urge to relate the numbers that represent continuous variables back to natural counting numbers via rationals reflects mathematical aesthetics, a type of elegance – getting as much as you can from minimum assumptions’. We could ask ourselves what would happen if we plotted every data point on a zigzagging line instead of smoothing out the curve – would this be ‘better’? Would the extra information be helpful, or simply too noisy to concentrate?
The question of whether humans perceive the world around them (time and space) as discrete (can only take certain values), continuous (can take a range of values), or a hybrid of both, has not yet been resolved (Herzog, Kammer & Scharnowski, 2016). Developments in how science can handle big data and complexity means that the pursuit of empirical fact can take us through alternating levels of discrete and continuous’, which can be unnerving if your previous idea of science involved ‘relentless simplification’ and new research methods are focusing on quantifying in a different way (Trefethen, 2012). This is a topic in which overconfidence and the illusion of understanding are common, and so it needs careful attention (Merenluoto & Lehtinen, 2004).
Maybe when looking at graphs we need to start asking what the purpose and focus is, rather than whether it is ‘right’ or ‘wrong’, an argument often made by proponents of statistical literacy. I can imagine these two graphs providing the stimulus for some excellent classroom practice and maths teacher CPD alike. Forensically examining the second graph in particular – trying to determine how the curve has been smoothed (moving averages?) and what effect that has on the pattern that emerges from any underlying variability.
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