27, 31, 46, 52, x, y + 2, 71, 79, 85, 90 are in increasing order. If the median is 64, then the value of x + y is
(a) 125
(b) 127
(c) 128
(d) 126
WBBSE
Class X
Mathematics
Statistics
01 Mark
2025
(d) 126
Explanation:
n = 10 (even)
median = \text{5th number + 6th number}\over 2
or, 64 = \text{x + y + 2} \over 2
or, x + y + 2 = 64 × 2
or, x + y + 2 = 128
or, x + y = 126
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