Define the following terms:(a) Arithmetic mean(b) Deviation

Question

Define the following terms:

(a) Arithmetic mean

(b) Deviation

(d) Variance

e) Geometrical mean

06 Mar 2024

Answer :

Word Count : 638

(a) Arithmetic Mean:

The arithmetic mean, often referred to as the average, is a measure of central tendency commonly used in statistics and data analysis. It is calculated by summing up all the values in a given dataset and then dividing the sum by the total number of values. In meteorology, instrumentation, and tribology, the arithmetic mean is frequently used to represent typical or average values of variables such as temperature, pressure, or friction coefficient over a period of time or under various experimental conditions.

Mathematically, the formula for the arithmetic mean is:

Arithmetic Mean=1n∑i=1nxi\text{Arithmetic Mean} = \frac{1}{n} \sum_{i=1}^{n} x_i

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