Question

Find the mean, median and mode of the following data:

Classes:	0−50	50−100	100−150	150−200	200−250	250−300	300−350
Frequency:	2	3	5	6	5	3	1

Answer 1

Classes	Frequency (fi)	xi	fi xi	C.f.
0−50	2	25	50	2
50−100	3	75	225	5
100−150	5	125	625	10
150−200	6	175	1050	16
200−250	5	225	1125	21
250−300	3	275	825	24
300−350	1	325	325	25
			$\sum _{}{f}_i{x}_i=4225$

Here, the maximum frequency is 6 so the modal class 150−200.

Therefore,

Thus, the mean of the data is 169.

Thus, the median of the data is 170.83.

= 175

Thus, the mode of the data is 175.