If the median of the data: 6, 7, x − 2, x, 17, 20, written in ascending order, is 16. Then x =

Terms are 6, 7, x - 2, x, 17, 20

No of terms = 6

We know that, if even no of terms or observations are given, then the median of data is mean of the values of term and term. Where n is no of terms.

In this case, n = 6

i.e. median of above data is mean of 3^rd and 4^th term

⇒ median

⇒ 16 = x - 1 [As median is 16]

⇒ x = 17