Arithmetic mean of a set of observations is their sum divided by the number of observations.

**Average**

**- Recall**

There are several measures of
central tendency for the data. They are

Â·
Arithmetic Mean

Â·
Median

Â·
Mode

Â·
Geometric Mean

Â·
Harmonic
Mean

Arithmetic mean of a set of
observations is their sum divided by the number of observations. The
observation are classified into a) Ungrouped data and b) Grouped data.

where is Arithmetic Mean, âˆ‘*X* is sum of all the values of the variable *X* and *n *is number of
observations.

The arithmetic mean can be
calculated by using any arbitrary value *A*
as origin and write *d* as the
deviation of the variable *X* then,

The formula for computing the
mean is** **

where *f* is frequency; *X* is the
variable; *N* = *âˆ‘ f* i.e. total frequency.

The arithmetic mean is computed
by applying the following formula:

The arithmetic mean may be
computed by applying any of the following methods:

(i) Direct
method

(ii) Short-cut
method

(iii) Step
deviation method

When direct method is used
arithmetic mean is defined as

Where *m* = midpoint of each of the class interval,

*f *= the
frequency of each class interval

*N *= âˆ‘*f *= total frequency

The arithmetic mean is computed
by applying the following formula

where *A* is assumed mean or arbitrary value, *d*=*m*â€“*A* is deviations of mid-point from assumed mean and *N*=âˆ‘*f*

In case of grouped or continuous
frequency distribution, the arithmetic mean

is any arbitrary value or assumed
mean and *c* is the magnitude of class
interval.

**Mode **is the value which repeats maximum
number of times among the given** **observations.

Median is exactly a middle value
and it exceeds and exceeded by the same number of observations. Median is one
of the positional measure. Some other related positional measures are also
described below.

Tags : Measures of central tendency , 11th Business Mathematics and Statistics(EMS) : Chapter 8 : Descriptive statistics and probability

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11th Business Mathematics and Statistics(EMS) : Chapter 8 : Descriptive statistics and probability : Average | Measures of central tendency

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