10 20 30 40 50 60 70
X
10 20 30 40 50 60 70
Y
PS04987
10 20 30 40 50 60 70
z
- If the variables X, Y, and Ztake on only the values 10,
20, 30, 40, 50, 60, or 70 with frequencies indicated by
the shaded regions above, for which of the frequency
distributions is the mean equal to the median?
(A) X only
(B) Yonly
(C) Z only
(D) X and Y
(E) X and Z
Arithmetic
The frequency distributions for both X and Z are
symmetric about 40, and thus both X and Z have
mean = median = 40. Therefore, any answer
choice that does not include both X and Z can be
eliminated. This leaves only answer choice E.
1h e correct answer 1s E.
PS!5538
4.5 bă, , I. Answer Explanations
- When the figure above is cut along the solid lines,
folded along the dashed lines, and taped along the
solid lines, the result is a model of a geometric solid.
This geometric solid consists of 2 pyramids, each with
a square base that they share. What is the sum of th e
number of edges and the number of faces of this
geometric solid?
(A) 10
(Bl 18
(Cl 20
(D) 24
(El 25
Geometry ,lid
A geometric solid consisting of 2 pyramids, each
with a square base that they share, is shown in the
figure above. From the figure it can be seen that
the solid has 12 edges and 8 faces. Therefore, the
sum of the number of edges and the number of
faces of the solid is 12 + 8 = 20.
Alternatively, the solid has 7 + 5 = 12 edges
because each edge in the solid is generated from
either a dashed segment (there are 7 dashed