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Examples where uncertainty is important:

• Investing in financial markets such as the stock market.
• Uncertainty is designed into games, most notably in gambling, where chance is central to play.
• In physics in certain situations, uncertainty has been elevated into a principle, the uncertainty principle.
• In weather forcasting it is now commonplace to include data on the degree of uncertainty in a weather forecast.
• Uncertainty is often an important factor in economicsEconomics is the social science studying how society uses its limited resources to meet desires and wants. Put otherwise, economics studies what, how and for whom society produces. This involves analyzing the production, distribution and consumption of go. According to economist Frank KnightFrank Hyneman Knight ( November 7, 1885 April 15, 1972) was an important economist in the first half of the twentieth century. A founder of the Chicago school, he authored the book Risk Uncertainty and Profit arguing the perfect competition would not elim, it is different from riskThis article is about the concept of risk. There is also a popular board game named Risk, and an album by Megadeth named Risk. Risk is the potential harm that may arise from some present process or from some future event. It is often mapped to the probabi, where there is a specific probability assigned to each outcome (as when flipping a fair coin). Uncertainty involves a situation that has unknown probabilities, while the estimated probabilities of possible outcomes need not add to unity.
• In metrology, measurement uncertainty is a central concept quantifying the dispersion one may reasonably attribute to a measurement result. In daily life, measurement uncertainty is often implicit ("He is 6 feet tall" give or take a few inches), while for any serious use an explicit statement of the measurement uncertainty is necessary. The expected measurement uncertainty of many measuring instruments (scales, oscilloscopes, force gages, rulers, thermometers, etc) is often stated in the manufacturers specification. The most commonly used procedure for calculating measurement uncertainty is described in the Guide to the Expression of Uncertainty in Measurement (often referred to as "the GUM") published by ISO. A derived work is for example the National Institute for Standards and Technology ( NIST) publication NIST Technical Note 1297 "Guidelines for Evaluating and Expressing the Uncertainty of NIST Measurement Results". The uncertainty of the result of a measurement generally consists of several components. The components are regarded as random variables, and may be grouped into two categories according to the method used to estimate their numerical values:
  1. those which are evaluated by statistical methods,
  2. those which are evaluated by other means, e.g. by assigning a probability distribution.

By propagating the variances of the components through a function relating the components to the measurement result, the combined measurement uncertainty is given as the square root of the resulting variance. The simplest form is the standard deviation of a repeated observation.