SAT Math Hard Practice Quiz
Data, Statistics, and Probability
1.
The first term of a sequence is the number
n
, and each
term thereafter is 5 greater than the term before. Which
of the following is the average (arithmetic mean) of the
first nine terms of this sequence?
(A)
n
+ 20
(B)
n
+ 180
(C)
2
n
(D)
2
n
+ 40
(E)
9
n
+ 180
2.
The average (arithmetic mean) of a particular set of
seven numbers is 12. When one of the numbers is re-
placed by the number 6, the average of the set increases
to 15. What is the number that was replaced?
(A)
−
20
(B)
−
15
(C)
−
12
(D)
0
(E)
12
3.
Let
a
,
b
, and
c
be positive integers. If the average (arith-
metic mean) of
a
,
b
, and
c
is 100, which of the following
is NOT a possible value of any of the integers?
(A)
1
(B)
100
(C)
297
(D)
298
(E)
299
4.
M
is a set consisting of a finite number of consecutive
integers. If the median of the numbers in set
M
is equal
to one of the numbers in set
M
, which of the following
must be true?
I.
The average (arithmetic mean) of the
numbers in set
M
equals the median.
II. The number of numbers in set
M
is odd.
III. The sum of the smallest number and the
largest number in set
M
is even.
(A)
I only
(B)
II only
(C)
I and II only
(D)
I and III only
(E)
I, II, and III
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