Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
111 views
in Statistics by (49.9k points)
closed by

The observation 29, 32, 48, 50, x, x+2, 72, 78, 84, 95 are arranged in ascending order. What is the value of x if the median of the data is 63?

1 Answer

+1 vote
by (55.0k points)
selected by
 
Best answer

If number of observations is even, then the median will be the average of \((\frac{N}2)^{th}\) and the \((\frac{N}2+1)^{th}\) observations.

In the given case, = 10 ⇒ \((\frac{N}2)^{th}\) = 5th and \((\frac{N}2+1)^{th}\) = 6th observation 

Thus, 63 = \(\frac{x+(x+2)}2\)

⇒126 = 2x + 2 

⇒ 124 = 2x

⇒ x = 62 

Thus, the value of x is 62.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...