The prices of different articles and demand for them is shown in the following frequency distribution table. Find the median of the prices.

Let us prepare cumulative frequency table:

Here, N = 400

N/2 = 400/2 = 200

Since, cumulative frequency 240 is just greater than 200 ⇒ median class = 20-40

Median is given by

Where l = lower limit of the median class

N = Sum of frequencies

h = class interval of the median class

cf = Cumulative frequency of the class preceding the median class

f = Frequency of the median class

Here, Median class = 20-40

L = 20

N/2 = 200

h = 20

cf = 140

f = 100

Putting all these values in the median formula, we get

⇒ Median = 20 + 1200/100

⇒ Median = 20 + 12 = 32

Thus, median of the prices is Rs. 32.