Q.If 29 is removed from the dataset 20, 22, 25, 26, 27, 28, 29, 30, the median will decrease by – (a) 2 (b) 1.5 (c) 1 (d) 0.5
Answer: D
\(n = 8\)
∴ Median \(= \cfrac{1}{2} (\text{4th term} + \text{5th term})\)
\(= \cfrac{1}{2} (26 + 27) = \cfrac{53}{2} = 26.5\)
If \(29\) is removed, then \(n = 7\)
Now, the median would be the 4th term \(= 26\)

∴ The decrease in the median \(= (26.5 - 26) = 0.5\).
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