Question

Find the coeefficient of range of the following distribution Xi 10, 20, 30, 40, 50
Fi 7, 5, 3, 2, 1

Answer 1

= Mid value of highest class = 45

x

o

= Mid value of lowest class = 5

Therefore,

Range = x

m

−x

o

=45−5=40

Coefficient of range =

x

m

+x

o

x

m

−x

o

=

45+5

45−5

=

50

40

=

5

4

=0.8

Answer 2

Answer:

Coefficient of the range = 0.66

Step-by-step explanation:

Given data  

               $X_{i}$     10    20     30     40     50  

               $f_{i}$       7      5        3       2        1    

here we need to find coefficient of range

⇒ the above data is a grouped data with mid points of the class interval

⇒ range of given data =  largest mid point - smallest mid point

                                     =  50  - 10 = 40

⇒ formula for the coefficient of the range is given by

coefficient of range =  $\frac{L-S}{L+S}$

here L= largest mid point,  S= smallest mid point

⇒ coefficient of range = $\frac{50-10}{50+10}$  =  $\frac{40}{60}$  =  $\frac{4}{6}$  = 2/3 = 0.66