Question

The following table gives the daily income of 50 workers of a factory:

Daily Income (in Rs):	100−120	120−140	140−160	160−180	180−200
Number of workers:	12	14	8	6	10

Find the mean, mode and median of the above data.

Answer 1

Consider the following table.

Daily income (in Rs.)	Number of workers (fi)	xi	fi xi	C.f.
100−120	12	110	1320	12
120−140	14	130	1820	26
140−160	8	150	1200	34
160−180	6	170	1020	40
180−200	10	190	1900	50

Here, the maximum frequency is 14 so the modal class is 120−140.

Therefore,

Thus, the mean daily income of the workers is Rs 145.20.

Thus, the median of the daily income of the workers is Rs 138.57.

Thus, the mode of the daily income of the workers is Rs 125.