The median of the data 205, 170, 131, 174, 153, 142, 148, 157, 196, 148 is :
Answer & explanation
Correct answer: option 1
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