Daily wages of 90 employees of a factory are as follows:

Find the modal wage of an employee.

Observe that, from the given data:

The maximum class frequency, here, is 33 and the class corresponding to this frequency is 550 – 650.

So, this implies that,

Modal class = 550 – 650

Mode of such grouped frequency distribution is given by,

Where,

l = lower limit of the modal class = 550

f₀ = frequency of the class preceding the modal class = 12

f₁ = frequency of the modal class = 33

f₂ = frequency of the class succeeding the modal class = 17

c = size of class interval (the class intervals are same) = 100

∴ Substituting the values l = 550, f₀ = 12, f₁ = 33, f₂ = 17 and c = 100 in the formula of mode. We get

⇒

⇒

⇒

⇒ Mode = 550 + 56.76

⇒ Mode = 606.76

Thus, the modal wage of an employee is Rs. 606.76.