Inspanidual Series Arithmetic Mean

When data is given on inspanidual basis. Following is an example of inspanidual series −

Items	5	10	20	30	40	50	60	70

For inspanidual series, the Arithmetic Mean can be calculated using the following formula.

Formula

$ar{x} = sum_{i=1}^{n} X_{i}$

Alternatively, we can write same formula as follows −

$ar{x} = frac{_{sum {x}}}{N}$

Where −

$X_{1}, X_{2}, X_{3}, .... X_{n}$ = inspanidual observation of variable.

$sum {x}$ = sum of all observations of the variable

${N}$ = Number of observations

Problem Statement −

Calculate Arithmetic Mean for the following inspanidual data −

Items	14	36	45	70	105

Solution −

Based on the above mentioned formula, Arithmetic Mean $ar{x}$ will be −

$ar{x} = frac{14 + 36 + 45 + 70 + 105}{5} \[7pt] , = frac{270}{5} \[7pt] , = {54}$

The Arithmetic Mean of the given numbers is 54.