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# During an experiment, the temperature of a liquid was measured several

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Manager
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During an experiment, the temperature of a liquid was measured several [#permalink]

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29 Oct 2017, 06:10
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90% (01:00) correct 10% (01:36) wrong based on 50 sessions

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During an experiment, the temperature of a liquid was measured several times. The temperatures, in degree Celsius, listed in increasing order, are 21, 25, x, 40, and 50. If the arithmetic mean of these temperatures is equal to the median, what is the value of x?

A. 34
B. 35
C. 36
D. 37
E. 38
[Reveal] Spoiler: OA

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Joined: 02 Aug 2009
Posts: 5660
Re: During an experiment, the temperature of a liquid was measured several [#permalink]

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29 Oct 2017, 06:15
septwibowo wrote:
During an experiment, the temperature of a liquid was measured several times. The temperatures, in degree Celsius, listed in increasing order, are 21, 25, x, 40, and 50. If the arithmetic mean of these temperatures is equal to the median, what is the value of x?

A. 34
B. 35
C. 36
D. 37
E. 38

clearly x is the MEDIAN, so x is also the mean..

$$\frac{21+25+x+40+50}{5}=x.......136+x=5x....4x=136...x=34$$

A
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Re: During an experiment, the temperature of a liquid was measured several [#permalink]

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29 Oct 2017, 06:46
septwibowo wrote:
During an experiment, the temperature of a liquid was measured several times. The temperatures, in degree Celsius, listed in increasing order, are 21, 25, x, 40, and 50. If the arithmetic mean of these temperatures is equal to the median, what is the value of x?

A. 34
B. 35
C. 36
D. 37
E. 38

$$\frac{21 + 25 + x + 40 + 50}{5} = x$$

Or, $$x + 136 = 5x$$

Or, $$4x = 136$$

Or, $$x =34$$, answer will be (A)

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Manager
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Re: During an experiment, the temperature of a liquid was measured several [#permalink]

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23 Nov 2017, 04:43
The sum has to be divisible by 5. We have 21 in the set which is not divisible by 5 rest all are divisible by 5. Only answer choice which when added to 21 is 34 to make both divisible by 5.
Re: During an experiment, the temperature of a liquid was measured several   [#permalink] 23 Nov 2017, 04:43
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