The difference between Arithmetic mean and Expectation
When used as nouns, arithmetic mean means the measure of central tendency of a set of values computed by dividing the sum of the values by their number, whereas expectation means the act or state of expecting or looking forward to an event as about to happen.
check bellow for the other definitions of Arithmetic mean and Expectation
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Arithmetic mean as a noun (statistics, probability):
The measure of central tendency of a set of values computed by dividing the sum of the values by their number; commonly called the mean or the average.
Examples:
"The arithmetic mean of 3, 6, 2, 3 and 6 is (3 + 6 + 2 + 3 + 6) / 5 = 4."
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Expectation as a noun:
The act or state of expecting or looking forward to an event as about to happen.
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Expectation as a noun:
That which is expected or looked for.
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Expectation as a noun:
The prospect of the future; grounds upon which something excellent is expected to occur; prospect of anything good to come, especially of property or rank.
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Expectation as a noun:
The value of any chance (as the prospect of prize or property) which depends upon some contingent event.
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Expectation as a noun (statistics):
The first moment; the long-run average value of a variable over many independent repetitions of an experiment.
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Expectation as a noun (colloquial statistics):
The arithmetic mean.
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Expectation as a noun (medicine, rare):
The leaving of a disease principally to the efforts of nature to effect a cure.