Set, Relation and FunctionHard
Question
The median of a set of 9 distinct observations is 20.5. If each of the largest 4 observations of the set is increased by 2, then the median of the new set
Options
A.is increased by 2
B.is decreased by 2
C.is two times the original median
D.remains the same as that of the original set
Solution
12x + 4 + 3 - 3x + 6 - 12x ≤ 1
0 ≤ 13 - 3x ≤ 12
3x ≤ 13
⇒ x ≥
x ≤
Hence, (C) is the correct answer.
Create a free account to view solution
View Solution FreeMore Set, Relation and Function Questions
Let R be a relation on the set N of natural numbers defined by nRm ⇔ n is a factor of m (i.e. n | m). Then R is -...The void relation on a set A is -...If n(A) = 10, n(B) = 15 and n(A ∪ B) = x, then -...If the coefficient of x7 in equals the coefficient of x-7 in , then a and b satisfy the relation...Let f be a twice differentiable function such that f″(x) = - f(x) and f′(x) = g(x). If h(x) = (f(x))2 + (g(x...