Finding range with examples

 Range.

You must learn the total concept of measures of dispersion.

The first concept is finding Range and coefficient of Range of the given data. 

Range = highest number. – least number.

                                       highest no. – least no

Coefficient of Range= ——————————

                                       highest no.+ Least no.

You can easily understandable by an example.

For individual series.

Ex:- find range and coefficient of range of data for 9,17, 27,39 ,73,12,13,61,43, 4,11,31.

Here the Highest number is 73

And the least number is 4.

So the range = (73-4) = 69

Coefficient of Range= (73-4)/(73+4) =69/77        =0.896 .

For Discriet series.

Ex:-.       X.     5.  10.   15.   20.    25.   30

               f.     6.    8.    11.    9.     16.    4

Here we have to consider X values. 

Highest number is 30

Least number is 5.

Range = 30-5 = 25.

Coefficient of Range=(30–5)/(30+5)

                                     =25/35  =  0.71

For continuous series.

Here the data must be exclusive.

Ex:-   X.     |  10-15 |  15-20 | 20-25 | 25-30

           f.      |     6      |      8     |    12    |   5

Here also we have consider X values only that means class intervals.

Least number is 1st class Lower limit.

Highest number is last class upper limit.

Follow the colours.

Don't forget that the data must be exclusive

















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