The following table gives the daily wages of workers in a factory :

Daily wages (in ₹)	Number of workers
200 - 220	5
220 - 240	20
240 - 260	10
260 - 280	10
280 - 300	9
300 - 320	6
320 - 340	12
340 - 360	8

Find :

(i) the mean

(ii) the modal class

(iii) the number of workers getting daily wages below ₹ 300

(iv) the number of workers getting ₹ 260 or more but less than ₹ 340 as daily wages.

(i) We construct the following table :

By formula,

$\Rightarrow \text{Mean} = \dfrac{Σ\text{f}_{i}\text{u}_{i}}{Σ\text{f}${i}}\\[1em] \Rightarrow \text{Mean} = \dfrac{22080}{80}\\[1em] \Rightarrow \text{Mean} = 276

Hence, the mean is ₹ 276.

(ii) The class 220 - 240 has maximum frequency 20.

Hence, modal class = 220 - 240.

(iii) From table,

Hence, the number of workers getting daily wages below ₹ 300 = 54.

(iv) From table,

Hence, the number of workers getting ₹ 260 or more but less than ₹ 340 as daily wages = 72 - 35 = 37.