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  2. Quartile - Wikipedia

    en.wikipedia.org/wiki/Quartile

    The QUARTILE function is a legacy function from Excel 2007 or earlier, giving the same output of the function QUARTILE.INC. In the function, array is the dataset of numbers that is being analyzed and quart is any of the following 5 values depending on which quartile is being calculated. [8]

  3. Five-number summary - Wikipedia

    en.wikipedia.org/wiki/Five-number_summary

    Splitting the observations either side of the median gives two groups of four observations. The median of the first group is the lower or first quartile, and is equal to (0 + 1)/2 = 0.5. The median of the second group is the upper or third quartile, and is equal to (27 + 61)/2 = 44. The smallest and largest observations are 0 and 63.

  4. Quantile - Wikipedia

    en.wikipedia.org/wiki/Quantile

    The 4-quantiles are called quartiles → Q; the difference between upper and lower quartiles is also called the interquartile range, midspread or middle fifty → IQR = Q 3 − Q 1. The 5-quantiles are called quintiles or pentiles → QU; The 6-quantiles are called sextiles → S; The 7-quantiles are called septiles → SP; The 8-quantiles are ...

  5. Interquartile range - Wikipedia

    en.wikipedia.org/wiki/Interquartile_range

    The IQR of a set of values is calculated as the difference between the upper and lower quartiles, Q 3 and Q 1. Each quartile is a median [8] calculated as follows. Given an even 2n or odd 2n+1 number of values first quartile Q 1 = median of the n smallest values third quartile Q 3 = median of the n largest values [8]

  6. Box plot - Wikipedia

    en.wikipedia.org/wiki/Box_plot

    Third quartile (Q 3 or 75th percentile): also known as the upper quartile q n (0.75), it is the median of the upper half of the dataset. [ 7 ] In addition to the minimum and maximum values used to construct a box-plot, another important element that can also be employed to obtain a box-plot is the interquartile range (IQR), as denoted below:

  7. Talk:Quartile - Wikipedia

    en.wikipedia.org/wiki/Talk:Quartile

    With an even number of observations, the median is the mean of the two middle observations, and the quartiles are the medians of the lower resp. upper half of the observations. Finding the median of half the observations, one may again have to consider either an odd or an even number of observations; hence the four cases above.

  8. Interquartile mean - Wikipedia

    en.wikipedia.org/wiki/Interquartile_mean

    The interquartile mean (IQM) (or midmean) is a statistical measure of central tendency based on the truncated mean of the interquartile range.The IQM is very similar to the scoring method used in sports that are evaluated by a panel of judges: discard the lowest and the highest scores; calculate the mean value of the remaining scores.

  9. Quantile function - Wikipedia

    en.wikipedia.org/wiki/Quantile_function

    Quantile functions are used in both statistical applications and Monte Carlo methods. The quantile function is one way of prescribing a probability distribution, and it is an alternative to the probability density function (pdf) or probability mass function, the cumulative distribution function (cdf) and the characteristic function.