Question

individual series( shortcut method )example ​

Answer 1

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Answer 2

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Individual series means where frequencies are not given.

Here the mean can be found by three methods.

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(i) Direct Method:

Example 1. Find Mean for the following figures.

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Solution:

∑X =30 + 41 + 47 + 54 + 23 + 34 + 37 + 51 + 53 + 47=417; N= 10.

(ii) Short Cut Method:

Here X is calculated using an Assumed Mean ; taking deviations from it, the following formula is used.

Where A is assumed mean

and dx = the deviation of items from assumed mean (X – A),

∑dx/N is known as correction factor.

(Note: – Value of Assumed Mean may be taken of any magnitude; but we often take whole number near to the average of largest and smallest terms to avoid big calculations.)