NCERT Solutions for Class 9 Maths Chapter 13
Important NCERT Questions
Statistics
NCERT Books for Session 2022-2023
CBSE Board, UP Board and Other state Boards
EXERCISE 14.4
Page No:269
Questions No:3
The following observations have been arranged in ascending order. If the median of the data is 63, find the value of x. 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95.
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Number of observations = 10
10 is an even number. Therefore, the modian = Mean of 5th[(n/2)th] term and 6th[(n/2 + 1)th] term.
Hence,
Median = 1/2(5th observation + 6th observation)
⇒ 63 = 1/2 [(x) + (x + 2)]
⇒ 63 = 1/2 [2x + 2]
⇒ 63 = x + 1
⇒ x = 62
Hence, the valueof x is 62.