What is the median of 10 taxis 1 passenger,40:2, 24:3 and 26:4 passengers?

Question

What is the median number of passengers of 10 taxis with 1 passenger,40 taxis with 2 passengers, 24 taxis:3 and 26 taxis with 4 passengers?

Passengers    1       2       3        4

No of taxis      10    40     24      26

I think it should be 2 as the 50th item is in the second group but the given answer is 2.5

Answer 1

The median is the central data element.

There are 100 taxis so there is no central element, therefore we need the average of the 50th and 51st element. The first 10 elements are all 1's; then we have 40 2's, so the 50th element is a 2.

The 51st element is 3. The median is the average of 2 and 3=2.5.