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If q, r, and s represent three numbers in which r = q + 8 and s = r +

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Bunuel
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If q, r, and s represent three numbers in which r = q + 8 and s = r + [#permalink] New post   15 Jul 2020, 02:28
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If q, r, and s represent three numbers in which r = q + 8 and s = r + 11, what is the result when the median of the three numbers is subtracted from their mean?

A. -1
B. 0
C. 1
D. 2
E. 3
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C
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Re: If q, r, and s represent three numbers in which r = q + 8 and s = r + [#permalink] New post   15 Jul 2020, 02:32
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Bunuel wrote:
If q, r, and s represent three numbers in which r = q + 8 and s = r + 11, what is the result when the median of the three numbers is subtracted from their mean?

A. -1
B. 0
C. 1
D. 2
E. 3


Sequence becomes q, q+8 and q+19.

Median : q+8
Mean : q+9

Difference : 1
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Re: If q, r, and s represent three numbers in which r = q + 8 and s = r + [#permalink] New post   15 Jul 2020, 02:33
Expert Reply
Bunuel wrote:
If q, r, and s represent three numbers in which r = q + 8 and s = r + 11, what is the result when the median of the three numbers is subtracted from their mean?

A. -1
B. 0
C. 1
D. 2
E. 3


Three numbers are
q
r = q+8
s = r+11 = q+8 + 11 = q+19

i.e. \(Median = r = (q+8)\)

\(Mean = \frac{q+(q+8)+(q+19)}{3} = q+9\)

\(Mean - Median = (q+9) - (q+8) = 1\)

Answer: Option C
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Re: If q, r, and s represent three numbers in which r = q + 8 and s = r + [#permalink] New post   15 Jul 2020, 04:39
Bunuel wrote:
If q, r, and s represent three numbers in which r = q + 8 and s = r + 11, what is the result when the median of the three numbers is subtracted from their mean?

A. -1
B. 0
C. 1
D. 2
E. 3


No.s are q,r,s
Given,
r = q + 8 &
s = r + 11
=> s = q + 8 + 11 = q + 19

Now, no.s are q , q + 8 , q + 19
Therefore,
Median = q + 8 &
Mean =\( \frac{q + q + 8 + q + 19}{3}\) = \(\frac{3q + 27}{3}\) = q + 9

So, Difference between mean and median = (q + 9) - (q + 8) = q + 9 - q - 8 = 1

Hence, OA is (C)
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Re: If q, r, and s represent three numbers in which r = q + 8 and s = r + [#permalink] New post   15 Jul 2020, 05:10
Three numbers q,r and s
where, r = q + 8 => r-8 = q and s = r + 11
can be written as r-8,r,r+11
in which median = r
mean = Total/no.of units
mean = r-8+r+r+11/3
mean = 3r +3/3
mean = r+1

subtracting median from mean = r+1-r = 1
answer is C
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Re: If q, r, and s represent three numbers in which r = q + 8 and s = r + [#permalink] New post   15 Jul 2020, 06:48
Bunuel wrote:
If q, r, and s represent three numbers in which r = q + 8 and s = r + 11, what is the result when the median of the three numbers is subtracted from their mean?

A. -1
B. 0
C. 1
D. 2
E. 3


Asked: If q, r, and s represent three numbers in which r = q + 8 and s = r + 11, what is the result when the median of the three numbers is subtracted from their mean?

r = q + 8
s = r + 11 = q + 19

Set = {q, q+8, q+19}
Median = q + 8

Mean = (q + q + 8 + q + 19)/3 = (3q + 27)/3 = q + 9

Mean - Median = (q + 9) - (q + 8) = 1

IMO C
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Re: If q, r, and s represent three numbers in which r = q + 8 and s = r + [#permalink] New post   23 Jul 2020, 05:58
r = q + 8
s = r + 11

=> s > r > q

Mean = (r + s + q)/3 = r+1

Median = r

=> Mean - Median = r + 1 - r = 1

Answer: C
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If q, r, and s represent three numbers in which r = q + 8 and s = r + [#permalink] New post   23 Jul 2020, 08:18
Quote:
If q, r, and s represent three numbers in which r = q + 8 and s = r + 11, what is the result when the median of the three numbers is subtracted from their mean?

A. -1
B. 0
C. 1
D. 2
E. 3


r=q+8
s=r+11
q=r-8

If R=11
Mean=12
Median=11

Mean (12) - Median (11) = 1

Answer -> C
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Re: If q, r, and s represent three numbers in which r = q + 8 and s = r + [#permalink] New post   04 Jun 2022, 19:08
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Bunuel wrote:
If q, r, and s represent three numbers in which r = q + 8 and s = r + 11, what is the result when the median of the three numbers is subtracted from their mean?

A. -1
B. 0
C. 1
D. 2
E. 3


Let’s just Plug In. Make q=0. That means r=8 and s=19. Median = 8. Mean = 27/3 = 9. Mean - median = 9-8 = 1.

Answer choice C

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Re: If q, r, and s represent three numbers in which r = q + 8 and s = r + [#permalink]
04 Jun 2022, 19:08
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