Question

6. The distances covered by 250 public transport buses
covered by 250 public transport buses in a day is shown in the
following frequency distribution table. Find the mediano
distances.
Distance (km)

200-210 210-220 220-230
230-240 240-250
No.of buses
40 60 80
50 ​

Answer 1

Let us prepare cumulative frequency table:



Here, N = 250

N/2 = 250/2 = 125

Since, cumulative frequency 180 is just greater than 125. ⇒ median class = 220-230

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 = 220-230

L = 220

N/2 = 125

h = 10

cf = 100

f = 80

Putting all these values in the median formula, we get



⇒ Median = 220 + 250/80

⇒ Median = 220 + 3.125 = 223.125

Or Median is approximately 223.13 km

Thus, median of the distances is 223.13 km

Answer 2

Answer:

median of the distance is 223.13km