Question
Download Solution PDFThe following observations are arranged in ascending order. The median of the data is 15 find the value of x.
8, 11, 12, x + 6, 17, 18, 23
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Median: It is the middle value in the given set, while the set is either in increasing or decreasing order.
If the number of observation (n) is odd then median is (n+1)/2th term.
If the number of observation (n) is even then the median is average of nth and (n+1)th term.
Calculation:
Given: Median = 15
8, 11, 12, x + 6, 17, 18, 23
n = 7,
since, n is odd, median should be 4th term.
So, x + 6 should be median.
⇒ x + 6 = 15
⇒ x = 9
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