The median of the data 205, 170, 131, 174, 153, 142, 148, 157, 196, 148 is :

155

Data points are :-  205, 170, 131, 174, 153, 142, 148, 157, 196, 148

Arrange in ascending order :- 131, 142, 148, 148, 153, 157, 170, 174, 196, 205

Total numbers = 10

In case of even numbers,

Median will be the mean of \(\frac{n}{2}\) and \(\frac{n+ 2}{2}\) observations

Median will be the mean of \(\frac{10}{2}\) and \(\frac{10+ 2}{2}\) observations

Median = Mean of 5th and 6th generation

Median = \(\frac{ 153 + 157}{2}\)

= \(\frac{ 210}{2}\)

= 155

The correct answer is option (1) : 155