Q10. Define the terms: (a) Arithmetic mean b) Absolute Error (c) Mean Absolute Error (d)
Relative error (e) Percentage error.
Answers
Explanation:
arithmatic mean is average of any real no.
(a) Arithmetic progression: The arithmetic mean is the simplest and most widely used measure of a mean, or average. It simply involves taking the sum of a group of numbers, then dividing that sum by the count of the numbers used in the series. For example, take 34, 44, 56 and 78. The sum is 212. The arithmetic mean is 212 divided by four, or 53.
(b) Absolute error:The difference between the measured or inferred value of a quantity and its actual value , given by. (sometimes with the absolute value taken) is called the absolute error. The absolute error of the sum or difference of a number of quantities is less than or equal to the sum of their absolute errors.
(c) Mean Absolute Error: It is the average of all the absolute errors or alternatively the difference between two given continuous variables.
(d) Relative error: In words, the absolute error is the magnitude of the difference between the exact value and the approximation. The relative error is the absolute error divided by the magnitude of the exact value. The percent error is the relative error expressed in terms of per 100.
(e) Percentage error: Percentage errors tells you how big your errors are when you measure something in an experiment. Smaller percent errors mean that you are close to the accepted or real value. For example, a 1% error means that you got very close to the accepted value, while 45% means that you were quite a long way off from the true value.
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