Question

The following distribution gives the state- wise teacher-student ratio in higher secondary schools of India. Find the mode and mean of this data. Interpret the two measures.

Answer 1

(i) Class interval which has mode 30 – 35 

Here, l = 30, f₁ = 10, f₀ = 9, f₂ = 3, h = 5

∴ Mode = 30.6 

(ii) Mean (bar X) : Step Deviation Method :

= 32.5 – 3.3 = 29.2 

∴ Mode = 30.6 

∴ Mean = 29.2 

We conclude that more number of states has teacher-student ratio about 30.6. 

Mean of Age ratio is 29.2.