Get Answers to all your Questions

#Statistics
#Maths
#School
#CBSE Class 10

Calculate the mode of the following distribution :

Class : 10-15 15-20 20-25 25-30 30-35

Frequency 4 7 20 8 1

Answers (1)

Class	10-15	15-20	20-25	25-30	30-35
Frequency	4	7	20	8	1

Maximum frequency, $\jmath _{1}= 20$
class corresponding to $\jmath _{1}= 20-25$
Modal class $= 20-25$
$l= 20$
$h= \left [ 25-20 \right ]= 5$
$\jmath_{0}= 7$
$\jmath_{2}= 8$
Mole $= l+\left [ \frac{\jmath _{1}-\jmath _{0}}{2\jmath _{1}-\jmath _{0}-\jmath _{2}} \right ]\times h$
         $= 20+\left [ \frac{20-7}{2\times 20-7-8} \right ]\times 5$
$= 20+\left [ \frac{13}{25} \right ]\times 5$
       $= 20+\frac{13}{5}$
      $= 20+2\cdot 6$
Mode $= 22\cdot 6$