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

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Intern
Joined: 29 Dec 2017
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What is the arithmetic mean of a data set with twenty data values, eac  [#permalink]

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30 Jan 2019, 08:47
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25% (medium)

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77% (00:46) correct 23% (00:55) wrong based on 43 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 1144 and the even values is 856

(2) The sum of the lowest ten values is 400 and the greatest ten values is 1600.
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Re: What is the arithmetic mean of a data set with twenty data values, eac  [#permalink]

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30 Jan 2019, 09:16
kingjoffrey69 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 1144 and the even values is 856

(2) The sum of the lowest ten values is 400 and the greatest ten values is 1600.

Arithmetic mean = sum/20..

Statement I The sum of the odd values is 1144 and the even values is 856 .
There can be only two types of integers - odd or even, so the total sum will be 1144+856=2000..
Mean =2000/20=100
Sufficient

Statement II. The sum of the lowest ten values is 400 and the greatest ten values is 1600.[/quote]
Again total 20 will consist of lowest 10 and highest 10, so total will be 1600+400=2000
Sufficient as mean is 10 .

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

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30 Jan 2019, 12:27
kingjoffrey69 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 1144 and the even values is 856

(2) The sum of the lowest ten values is 400 and the greatest ten values is 1600.

the sum in each of the statements = 2000,
so the average is 2000/20 = 100

D
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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, 01:32
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, 09:22
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

Originally posted by Archit3110 on 31 Jan 2019, 03:48.
Last edited by Archit3110 on 01 Feb 2019, 09:22, 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, 06:54
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.
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Re: What is the arithmetic mean of a data set with twenty data values, eac  [#permalink]

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01 Feb 2019, 06:42
OA:D

1) The sum of the odd values is 1144 and the even values is 856

Total Sum = Sum of odd values + Sum of even values $$= 1144+856 =2000$$
Total number of term $$= 20$$

Average$$= \frac{2000}{20} =100$$

Statement 1 is sufficient to find out the value of average.

2) The sum of the lowest ten values is 400 and the greatest ten values is 1600.

Total Sum = Sum of lowest ten values + Sum of greatest ten values $$= 400+1600 =2000$$
Total number of term $$= 20$$

Average$$= \frac{2000}{20} =100$$

Statement 2 is sufficient to find out the value of average.
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Re: What is the arithmetic mean of a data set with twenty data values, eac   [#permalink] 01 Feb 2019, 06:42
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