All words

kurtosis

Meaning

A statistical measure quantifying the degree to which the tails of a probability distribution differ from the tails of a normal distribution, often described as the 'tailedness' or 'peakedness' of the distribution's shape.

Examples by difficulty

Basic: Simple, everyday vocabulary — the easiest to read.

The analyst stared at the graph, frowning. The sudden spikes and flat plains showed a wilder shape than expected. This high kurtosis meant the data was far from normal, with fatter tails hinting at surprising outliers, making the typical predictions unreliable and unsettling.

When observing the chaotic energy consumption of a new bio-luminescent algae farm, the team worried about the data's kurtosis. High kurtosis meant wildly unpredictable spikes and dips in power use, far more extreme than a normal pattern, making reliable energy grid integration a nightmare.

The alchemist studied the scattered glow of captured moonbeams. He noted how the light's intensity clustered too close to the average, with hardly any stray sparks far out. This "tailedness," he thought, this lack of extreme flares, was a low kurtosis, unlike the wilder, more unpredictable starlight he'd seen before.

My pet hamster, Reginald, has a peculiar habit: he'll run on his wheel for hours, then stare blankly at the wall. His happy-go-lucky mood swings are so extreme, you could say his emotional output has a very high kurtosis. It's like his joy is a pointy mountain with ridiculously long, droopy tails.

My pet rock, Bartholomew, has a very unusual kurtosis. While most rocks are pretty flat-tailed, Bartholomew has tails so pointy they could be mistaken for mini-spikes, showing a wild "tailedness" and a surprisingly sharp "peakedness" compared to your average sedimentary lump.

Normal: Standard, everyday language.

The investors were worried. Their stock's returns had an unusually high kurtosis, meaning extreme gains and losses were far more likely than with a normal, predictable market. This 'tailedness' indicated a volatile, risky investment, making them incredibly nervous about potential big drops.

The research team reviewed the seismic data. "Look at this," Maya exclaimed, pointing at the graph. "The kurtosis here is incredibly high. It means these unusual tremors are much more extreme than we'd expect from typical geological activity, showing a very heavy tail on the probability of significant shakes."

The data on how many stray voltage spikes a vintage electron microscope registers per hour showed an extreme kurtosis. It wasn't just a few more outliers; the distribution's tails were way heavier than a normal curve, meaning those sudden, massive surges were far more likely than we'd hoped, causing real anxiety about equipment safety.

My boss's lectures are like a statistical anomaly; their kurtosis is so extreme, the tales of their weekend antics extend far beyond what any normal distribution would suggest, making everyone question if they even *have* a day job.

My sourdough starter, Bartholomew, has a truly wild probability distribution. Its overnight rise exhibits a rather extreme kurtosis, meaning its tiny bubbles have tails fatter than a Thanksgiving turkey, far wilder than any normal bread. It's less a loaf and more a fluffy, bubbly monster.

Advanced: Richer vocabulary that stretches an upper-level reader.

The financial analysts were stunned by the stock's unusual price swings. This wasn't just volatility; the extreme moves on both ends hinted at a high kurtosis, indicating fatter tails than a typical bell curve. Their models, assuming a normal distribution, were proving inadequate.

The prospector meticulously charted the ore veins, noting how clustered the values were. He worried about outliers, the extreme results that could shatter his projections. This "tailedness," this kurtosis, indicated if his risks were concentrated or spread out, like a calm river versus a torrent.

The flickering oscilloscope revealed the chaotic tremors of the experimental seismic sensor. Analyzing the jagged waveforms, Dr. Aris noted the pronounced spikes and infrequent, but extreme, dips. "The kurtosis is unusually high," she mused, indicating the distribution's tails were fatter than expected, far from a smooth bell curve.

Our pet hamster's weight fluctuations were truly bizarre, far exceeding any normal bell curve. The *kurtosis* was so pronounced, you could practically measure the altitude of his tail-waggles. It was less a distribution and more a cartoon character doing a frantic jig, showcasing an extraordinary degree of "tailedness."

Bartholomew meticulously charted the trajectory of his rogue cheese wheel, noting its alarming departure from predicted paths. The observed deviations in tail behavior, a measure of its unusual "tailedness," suggested a particularly wild kurtosis. Clearly, this Emmental's descent was no ordinary statistical phenomenon; it was a culinary outlier.

Challenging: Rare, high-register vocabulary for serious word lovers.

The data displayed an unusual kurtosis, suggesting far more extreme values than a standard bell curve. This heightened "tailedness" indicated a distribution with an almost unnerving propensity for outliers, far beyond what we typically anticipate from stochastic processes.

The seismic sensor’s readings, usually a comforting Gaussian curve, exhibited alarming kurtosis. This statistical anomaly, measuring the aberrant "tailedness" of the tremors, indicated a departure from expected patterns, suggesting subsurface geological stress far exceeding typical parameters.

Analyzing the exotic particle decay data, the team noted a surprisingly high kurtosis. This meant the observed distribution's tails were far fatter than expected for a normal spread, indicating a greater propensity for extreme, outlier events, a phenomenon that vexed their theoretical models.

The esteemed statistician, Professor Von Squigglebottom, a veritable polymath with an almost preternatural acuity for data's vagaries, presented a rather recondite analysis. He expounded with Gargantuan fervor on a distribution’s "tailedness," a metric he termed kurtosis. This arcane concept, he averred, illuminated whether the distribution’s extremities were ostentatiously fat, like a gluttonous gremlin at a banquet, or alarmingly attenuate, resembling a famished phantom.

The aberrant gastropod's convoluted mating ritual, when plotted, exhibited a bewildering kurtosis, its statistical measure of "tailedness" so extreme it seemed the probability distribution was attempting an elaborate interpretive dance, each aberrant swerve signifying a deviation from the mundane bell curve, a veritable Dionysian revelry of data points.

Difficulty

Challenging — Rare, high-register words for serious word lovers.

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