Q1. The median of the series sin\(1^{\circ}\), sin\(2^{\circ}\), sin\(3^{\circ}\),...............,sin\(179^{\circ}\) is
a. 1
b. \(1/\sqrt{2}\)
c. sin\(46^{\circ}\)
d. sin\(89^{\circ}\)
e. sin\(98^{\circ}\)
Is this a GMAT question ?
Ans: B
sin function starts from sin\(0^{\circ}\) = 0 increases till sin\(90^{\circ}\) = 1 , then decreases till sin\(180^{\circ}\) = 0
and sin\(x^{\circ}\) = sin\((180 - x)^{\circ}\)
So the mid value occurs at sin\(45^{\circ}\) or sin\(135^{\circ}\) = \(1/\sqrt{2}\)
Q2. If the Standard deviation of 1,2,3,4,5,6,7,8,9,10,11 is M, then the standard deviation of 101,102,103,...................,111 is
a. M
b. 100+M
c. 100-M
d. M-100
e. 100M
Ans: A
Theory: The standard deviation remains unchanged if we add a constant to every term.