Q.If 35 is not present in the data set 30, 34, 35, 36, 37, 38, 39, 40, then the median increases by (a) 2 (b) 1.5 (c) 1 (d) 0.5
Answer: D
If \( n = 8 \), then the median is calculated as the average of the 4th and 5th terms, which gives:
\[ \text{Median} = \frac{1}{2} \times (36 + 37) = \frac{73}{2} = 36.5 \] If 35 is removed, then \( n = 7 \), and the median would be the 4th term, which is 37.
Therefore, the median increases by \( 37 - 36.5 = 0.5 \).
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