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Box plot of data from the Michelson experiment. In descriptive statistics, a box plot or boxplot is a method for demonstrating graphically the locality, spread and skewness groups of numerical data through their quartiles. [ 1] In addition to the box on a box plot, there can be lines (which are called whiskers) extending from the box indicating ...
Interquartile range. Boxplot (with an interquartile range) and a probability density function (pdf) of a Normal N (0,σ2) Population. In descriptive statistics, the interquartile range ( IQR) is a measure of statistical dispersion, which is the spread of the data. [ 1] The IQR may also be called the midspread, middle 50%, fourth spread, or H ...
Box plot : In descriptive statistics, a boxplot, also known as a box-and-whisker diagram or plot, is a convenient way of graphically depicting groups of numerical data through their five-number summaries (the smallest observation, lower quartile (Q1), median (Q2), upper quartile (Q3), and largest observation). A boxplot may also indicate which ...
The "whiskers" of the boxplot are the vertical lines of the plot extending from the box and indicating the maximum envelope of the dataset except the outliers. Outlier detection [ edit ] Outliers can be detected in a functional boxplot by the 1.5 times the 50% central region empirical rule, analogous to the 1.5 IQR empirical rule for classical ...
The fences are sometimes also referred to as "whiskers" while the entire plot visual is called a "box-and-whisker" plot. When spotting an outlier in the data set by calculating the interquartile ranges and boxplot features, it might be easy to mistakenly view it as evidence that the population is non-normal or that the sample is contaminated.
John Wilder Tukey ( / ˈtuːki /; June 16, 1915 – July 26, 2000) was an American mathematician and statistician, best known for the development of the fast Fourier Transform (FFT) algorithm and box plot. [2] The Tukey range test, the Tukey lambda distribution, the Tukey test of additivity, and the Teichmüller–Tukey lemma all bear his name.
Histogram. A histogram is a visual representation of the distribution of quantitative data. The term was first introduced by Karl Pearson. [ 1] To construct a histogram, the first step is to "bin" (or "bucket") the range of values— divide the entire range of values into a series of intervals—and then count how many values fall into each ...
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