question_answer

From the following frequency distribution, find the median class:
Cost of living index	1400 ? 1550	1550 ? 1700	1700 ? 1850	1850 ? 2000
Number of weeks	8	15	21	8

Answer:

Cost of living index	No. of weeks (f)	c.f.
1400 ? 1550	8	8
1550 ? 1700	15	23
1700 ? 1850	21	44
1850 ? 2000	8	52
	\[\sum{f=52}\]
Here,                 \[n=52\]
\[\Rightarrow \frac{n}{2}=\frac{52}{2}=26\]
26 will lie in the class interval 1700 ? 1850.
\[\therefore \] Median class is 1700 ? 1850.