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  • The weights of tea in 70 packets is given in the following table : Weight (in g.)

The weights of tea in 70 packets is given in the following table :

Weight (in g.) No. of packets
200-201 12
201-202 26
202-203 20
203-204 9
204-205 2
205-206 1

Find the modal weight.

 

 

 

 
 
 
 
 

Answers (1)

Weight (in g.) No. of packets
200-201 12
201-202 26
202-203 20
203-204 9
204-205 2
205-206 1

Here modal class is 201 - 202, since it has a maximum frequency which is 26.

l=201, f_1=26, f_0=12, f_2=20, h=1

\text{Mode}=l+ \left ( \frac{f_1-f_0}{2f_1-f_0-f_2} \right ) \times h                                 =201+ \left ( \frac{26-12}{2\times 26 - 12 - 20} \right ) \times 1

             =201+ \frac{14}{20}

             =201 + 0.7

\text{Modal weight}=201.7 \; mg

 

Posted by

Ravindra Pindel

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