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The median of a normal distribution with mean μ and variance σ 2 is μ. In fact, for a normal distribution, mean = median = mode. The median of a uniform distribution in the interval [a, b] is (a + b) / 2, which is also the mean. The median of a Cauchy distribution with location parameter x 0 and scale parameter y is x 0, the location parameter.
Statistics, when used in a misleading fashion, can trick the casual observer into believing something other than what the data shows. That is, a misuse of statistics occurs when a statistical argument asserts a falsehood. In some cases, the misuse may be accidental. In others, it is purposeful and for the gain of the perpetrator.
In statistics, a misleading graph, also known as a distorted graph, is a graph that misrepresents data, constituting a misuse of statistics and with the result that an incorrect conclusion may be derived from it. Graphs may be misleading by being excessively complex or poorly constructed.
Naive interpretation of statistics derived from data sets that include outliers may be misleading. For example, if one is calculating the average temperature of 10 objects in a room, and nine of them are between 20 and 25 degrees Celsius , but an oven is at 175 °C, the median of the data will be between 20 and 25 °C but the mean temperature ...
The essay The Median Isn't the Message by Stephen Jay Gould begins by repeating this quote. Gould explains how the statistic that peritoneal mesothelioma, the form of cancer with which he was diagnosed in 1982, has a "median survival time of eight months" is misleading. [22]
Take one measure of labor market earnings — the pay (including benefits) of the 80% of workers who are not managers or supervisors at work. For decades before 1980, these workers’ hourly pay ...
The Kentucky football coach’s controversial comments on his radio show were preceded by a caller citing a statistic about SEC wins.
Geometric median the point minimizing the sum of distances to a set of sample points. This is the same as the median when applied to one-dimensional data, but it is not the same as taking the median of each dimension independently. It is not invariant to different rescaling of the different dimensions.