Since point P is on segment SV, the y-coordinate of point P is also 2. Then the y-coordinate of
point T is equal to 2 plus the length of TP. Now .Since ST = 3, , so TP = 3 sin 39°.The y-coordinate of T is 2 + 3 sin 39° ≈ 3.89.8 . E
Consider statement I. When every number in set T is multiplied by 3, the average is
multiplied by 3. The average of the numbers in set T must be 3(14) = 42. Statement I must be
true. Eliminate (B), which does not contain I.
You can also show that statement I is true algebraically. If the members of the set S are x 1 , x 2 ,
x 3 ,..., xn, then the average of the numbers in set S is . The members of set T are
3 x 1 , 3x 2 , 3x 3 ,..., 3xn. The average of the numbers in set T isThe average of the numbers in set T is 3 times the average of
the numbers in set S. Thus, the average of the numbers in set T is 3(14) = 42.Now consider statement II. Suppose that the members of set S, in increasing order, are y 1 , y 2 ,
y 3 , ..., yn. Then the members of set T, in increasing order, are 3y 1 , 3y 2 , 3y 3 , ..., 3yn. If there is
an odd number of numbers in set S—that is, if n is odd—then the middle term among y 1 , y 2 ,
y 3 , ..., yn, which is the median of set S, was multiplied by 3 and is the middle term among 3y 1 ,
3 y 2 , 3y 3 , ..., 3yn, which is the median of set T. If there is an even number of numbers in set S,