Question

find the mode and mean​

Answer 1

Maximum class frequency =20

The class corresponding to Maximum class frequency is the modal class.

So, Modal class =160−165

Lower limit =L=160

Modal class size =h=5

Frequency of class preceding the modal class =f0=8

Frequency of the modal class =f1=20

Frequency of class succeeding the modal =f2=12

Mode =L+(f¹−f⁰/ 2f¹−f⁰−f²) ×h

Mode =160+(20−8 / 2(20)−8−12)×12

=160+12/20×5

=163

∑fi=60

∑fixi=9670

We know,xˉ=∑ifixi / ∑if1

f1=9670/60

f1=9670/60=161.17

Mean is 161.17

Thus, 161.7 cm is the average height of all the students.