If the median of the following data is 13, then find the value of k?
4, 20, 11, 8, 7, 10, (k+7), 16, 19
Answer & explanation
Correct answer: option 3
Arrange in Ascending order= 4, 7, 8, 10, 11, 16,19, 20 but place of (k+7) is indefinite
N=9 i.e. N is odd
Median in case of odd no. = \(\frac{n+1}{2}\)th term
= 5th term
and Median is 13 i.e. 5th term . so, (k+7) must be median and at 5th place
⇒ (k+7) = 13
k = 6