Expected value is the weighted average of all possible outcomes obtained from multiple experiments or measurements. It is calculated by multiplying each potential variable by its probability and adding them up, then dividing by the number of probabilities or outcomes. Sample sizes are used to predict outcomes of larger populations. The actual result of an experiment may deviate from the average. In quantum physics, expected value is the average amount of energy that a large group of atomic particles can be expected to have.
The expected value is the mean value of an unknown variable obtained from a large amount of experiments. When an experiment or measurement is performed multiple times, the result of those experiments should vary. An expectation value simply predicts the weighted average for all those values. It is a commonly used concept in quantum physics and statistics.
The weighted average of all possible outcomes is calculated by taking each potential variable and multiplying it by its probability. All of these values are added up and divided by the number of probabilities or possible outcomes. A simple illustration is a coin toss. There is a 50 percent chance of a toss heads and a 50 percent chance of tails.
In this scenario there are two possible outcomes. Each potential result is multiplied by 0.50. Adding these two digits together gives a total of 1.00, which is then divided by two. The expected value for a coin toss is 0.50.
However, most calculations involving expected value are more complex than flipping a coin. They typically involve a variety of possibilities and weighted probabilities. An expectation value is simply a prediction. It cannot calculate an actual result, only the mean or mean of those results.
Often, sample sizes are used to predict the outcomes of larger populations.
When calculating the expected value of a sample size, we assume that its mean is equal to the mean of the larger population. Sample sizes are smaller representations of entire populations and are used because it is not possible to test or measure every single variable that exists.
There is always the possibility that the actual result of an experiment deviates sharply from the average. Most of the time, about half of these values will be above the mean or expected value. The other half will fall below average. With populations skewed to the left of the mean, a larger proportion of the actual experiment values will be below the mean. For right-skewed populations, most of the actual values will be somewhere above the mean.
In terms of quantum physics, the expected value is the average amount of energy that a large group of atomic particles can be expected to have. The energetic charge refers to the orbital position of the particle. Determine the number of degrees that particles are likely to move in response to external sources of energy or magnetic fields. The expected value of energy would reflect an average amount of motion expected in a group of particles.
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