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A value which divides a set of data into equal proportions; examples are quartile and decile.



one of the numerical characteristics of random quantities used in mathematical statistics. If a distribution function of a random quantity X is continuous, then the quantile Kp of order p is defined as that number for which the probability of the inequality X < K<p is equal to p. From the definition of quantile it follows that the probability of the inequality Kp < X < K′’p is equal to p′p. The quantile K½ is the median of the random quantity X. The quantiles K¼ and K¾ are called quartiles, and K0.1, K0.2, … E0.9 are called deciles. Knowledge of the quantiles for suitably selected values of p makes it possible to visualize the distribution function.

Figure 1

For example, for the normal distribution (see Figure 1)

the graph of the function Φ (x) may be plotted by means of the deciles K0.1 = −1.28, K0.2 = −0.84, K0.3 = –0.52, K0.4 = –0.25 K0.5 = 0.25, K0.7= 0.52, K0.8 = 0.52, K0.8 = 0.84, and K0.9 =1.28. The quartiles of the normal distribution Φ(x) are K¼ = − 0.67 and K = 0.67.

References in periodicals archive ?
16 above), since a measure of the distance between highest and lowest incomes tells us nothing about economic inequalities between other fractiles of the population.
The shaded regions that these two aggregates comprise depict the portion of the labor share from each source that is accounted for by each fractile of employees and proprietors, respectively.
The PM can easily modify cost-overrun percentages and fractile parameters to re-calculate cost-risk by introducing new cost-overrun percentages and fractiles from the distribution.
Lindsey ranks taxpayers in different income fractiles before ERTA and again after ERTA.
This two sided test is of interest as it allows to discriminate between d > 0 and: d < 0 if the t statistic is in the lower fractile of the standardized normal distribution, the series exhibits long-memory whilst if the series is in the upper fractile of that distribution, the series is antipersistent.
k], is defined by the 5% lower-tail fractile, and is commonly calculated with the following equation.
He has just painted the geneticist Sir John Solston, and next comes Lord May, the president of the Royal Society who is known for his work on fractile geometries and chaos theory.
The conclusion from all of the above may be that setting requirements for imprecision from within-subject biological variation data is as arbitrary as setting these requirements from a fractile of participating laboratories in external quality assessment schemes (daily inter-laboratory quality-control programs), that is to say, from the state of the art.
Brutzman, who has a dark brown braid that falls below her hips, wore a long skirt and a multicolored vest, to which she had pinned personal keepsakes "for confidence" in her latest dance, Tuven Fractile.
Fractile of Workload Distribution Value (Hours) 10% 162 20% 177 80% 240 90% 260
Although many of these indicators - such as ER fractile response rate and chronic disease hospitalization rates - were tracked previously, HospitalAnalysis will allow senior and front-line managers to see key critical indicators on a dashboard.