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National and Regional Contests
USA Contests
USA - Middle School Tournaments
Math Invitational for Girls
2020 MIG
18
18
Part of
2020 MIG
Problems
(1)
2020 Individual #18
Source:
5/1/2022
When
171
171
171
is written as the sum of
19
19
19
consecutive integers, the median of those numbers is
M
M
M
. When
171
171
171
is written as the sum of
18
18
18
consecutive integers, the median of those numbers is
N
N
N
. Find
∣
M
−
N
∣
|M - N|
∣
M
−
N
∣
.
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(
A
)
<
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1
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(
B
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−
0.5
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(
C
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0
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(
D
)
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0.5
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(
E
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1
<span class='latex-bold'>(A) </span>{-}1\qquad<span class='latex-bold'>(B) </span>{-}0.5\qquad<span class='latex-bold'>(C) </span>0\qquad<span class='latex-bold'>(D) </span>0.5\qquad<span class='latex-bold'>(E) </span>1
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A
)
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1
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(
B
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−
0.5
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(
C
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0
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(
D
)
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0.5
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>
(
E
)
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1
2020 Individual