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

⇒x̄ = 37.5 – 8.28

⇒x̄ = 29.22

∴ Mean = 29.22

Here, the maximum no. of students per teacher i.e. 10, and the class corresponding to this frequency is 30 – 35

So, the modal class is 30 – 35 .

lower limit (l) of modal class = 30,

class size(h) = 5

frequency (f₁) of the modal class = 10

frequency (f₀) of class preceding the modal class = 9

frequency (f₂) of class succeeding the modal class = 3

Now, let us substitute these values in the formula

= 30 + 0.625

Mode = 30.625(approx.)