the arithmetic mean


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Mean Deviation
The mean deviation of a statistical data is defined as the arithmetic mean of the numerical values of the deviations of items from some average value. Mean deviation is also known as average deviation . The mean deviation is gen..
Mean absolute error
The arithmetic mean of the absolute error of the different measurements taken is called MAE. Where is the true value and is the absolute erro..
Harmonic Means Insertion
Hence h 1 , h 2 ,....h n are the n harmonic means. If A, G and H respectively are arithmetic, geometric and harmonic means of two positive quantities a and b, then G 2 = A.H and A ≥ G ≥..
To insert n Harmonic Means between two given quantities
>,....h n are the n harmonic means. If A, G and H respectively are arithmetic, geometric and harmonic means of two positive quantities a and b, then G 2 = A.H and A G..
Observational errors
This arises from the mode of observation of the person, taking the reading. e.g., Parallax error. These errors can be minimised by obtaining several readings and taking their arithmetic mean..
Random errors
These are irregularly occurring errors, which are at random, in magnitude and direction. They are not due to any definite cause and hence, are called accidental errors. A person may get different readings while experimenting, say, for E.g., while measuring the diameter of a wire with a screw gauge..
Summary
1. The mean deviation (M.D) of a statistical data is defined as the arithmetic mean of the numerical values of the deviations of the items from some average. 2. The standard deviation of a statistical data is defined as the positive square root of the A.M o..
Dobereiner's Triads
Dalton John In the famous atomic theory of John Dalton (1805), it was suggested that the atoms of an element have a characteristic mass. So, attempts were made to classify elements on the basis of their atomic masse..
Dobereiner's Triads
In the famous atomic theory of John Dalton (1805), it was suggested that the atoms of an element have a characteristic mass. So, attempts were made to classify elements on the basis of their atomic masses. In the year 1829, Johann Wolfgang Dobereiner, a German scientist, was the first to classify e..
Dobereiner's Triads
Dalton John Dobereiner's Triads - In the famous atomic theory of John Dalton (1805), it was suggested that the atoms of an element have a characteristic mass. So, attempts were made to classify elements on the basis of their atomic masse..
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