Quantile quartile

Quantile The value in a distribution that corresponds to a specified proportion of the population distribution or distribution function. Quartiles (25th, 50th, and 75th percentiles), the median (50th percentile), and other percentiles are special cases of quantiles. 

A quantUe divides a set of observations in two groups, such that one fraction falls above and the complementary fraction below, the value specified by the quantile. The most frequently appUed quantiles are quartiles and percentiles. 

Quantiles are points on the distribution of a random variable. The most familiar quantile is the median, which is the 0.5 quantile. The 0.25 and 0.75 quantiles are also called the quartiles. Extreme quantiles, such as the 0.9, 0.95, and 0.99 quantiles, are one way to characterize the tail of a distribution. 

The first column contains the RRP minima, which shows that the correct candidate is ranked first in at least one case for both sets of spectra ( 4 and The first quartile is synonymous for the 25% quantile. In at least one quarter of cases RRP is less than 0.0632 ( 4) or 0.0098 ( 44). The median is the 50% quantile, the third quartile is the 75% quantile. Column mean contains the arithmetic mean. 

Quantile n An element in the set of location values that divide the set of observations, data sample, population, or probability distribution into groups containing equal numbers of observations. In the case of discrete sets, equal means as equal as possible. There are several common types of quantiles based on the number of groups quartile = four groups, quintile = five groups, decile = ten groups, percentile or centile = one hundred groups. 

Fig. 3. The figure examines graphically the Ganssianity of 5000 attribute vectors afc = (ofci, 0 2), at randomly selected locations k within a seismic cube. The upper plots show quantile-quantile plots of Oki and ak2, comparing their empirical quantiles to the theoretical quantiles of a Gaussian distribution (dots). The lines join the first and third quartiles of the distributions. The lower left figure shows histograms of Bfei and ak2, with fitted Gaussian distributions superimposed for aki (dotted line) and ak2 (solid line). The lines are almost identical due to normalization. The lower right figure illustrates a joint frequency plot of aki and 0 2-...

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