The marks of 5 students in a unit test are given below:-
$x – 1, 2x +1, 2x – 2, x – 1, 2x + 3$ where $x = 5$.
On the basis of above information answer the questions.
The median of data in numerals is
Answer & explanation
Correct answer: option 3
x – 1, 2x +1, 2x – 2, x – 1, 2x + 3
Marks of 5 students is, where x = 5:
(5 - 1), (10 + 1), (10 - 2), (5 - 1), (10 + 3)
⇒ 4, 11, 8, 4, 13
Step-1: Arrange the data in ascending order: 4, 4, 8, 11, 13
Step-2: Number of terms (n) = 5 (odd)
Step-3: Median of odd number of data = (\(\frac{n\;+\;1}{2}\))th term
Hence,
Median = (\(\frac{5\;+\;1}{2}\))th term = 3rd term (from step-1) = 8