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# What is the arithmetic mean of a data set with twenty data values, eac

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Math Expert
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What is the arithmetic mean of a data set with twenty data values, eac  [#permalink]

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31 Jan 2019, 00:11
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Difficulty:

35% (medium)

Question Stats:

74% (00:43) correct 26% (01:00) wrong based on 31 sessions

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What is the arithmetic mean of a data set with twenty data values, each of which is a positive integer?

(1) The sum of the odd values is 1,144 and the sum of the even values is 856.

(2) The sum of the lowest ten values is 400 and the sum of the greatest ten values is 1,600.

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Re: What is the arithmetic mean of a data set with twenty data values, eac  [#permalink]

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31 Jan 2019, 00:32
From statement 1:

Sum of odd and even is given, but The number of integers, which are odd or even is not given. Hence Insufficient.

From statement 2:

The sum of the lowest 10 = 400.
The sum of the highest 10 = 1600.
Average = 2000/20 = 100

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What is the arithmetic mean of a data set with twenty data values, eac  [#permalink]

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Updated on: 01 Feb 2019, 08:22
Bunuel wrote:
What is the arithmetic mean of a data set with twenty data values, each of which is a positive integer?

(1) The sum of the odd values is 1,144 and the sum of the even values is 856.

(2) The sum of the lowest ten values is 400 and the sum of the greatest ten values is 1,600.

#1
sufficient
as not given whether the 20 data values are consecutive values or not
#2
400 + 1600/20 = 100
IMO D
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Originally posted by Archit3110 on 31 Jan 2019, 02:48.
Last edited by Archit3110 on 01 Feb 2019, 08:22, edited 1 time in total.
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Re: What is the arithmetic mean of a data set with twenty data values, eac  [#permalink]

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31 Jan 2019, 05:54
1
Is really 1 insufficient?
Because if I have sum of odd values and sum of even values I can calculate the sum of all values and divide by 20 to get the mean. This statement alone is sufficient as well.
Re: What is the arithmetic mean of a data set with twenty data values, eac   [#permalink] 31 Jan 2019, 05:54
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