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List M consists of the numbers 10, 20, 30, 40, 50. Which of the follo

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List M consists of the numbers 10, 20, 30, 40, 50. Which of the follo  [#permalink]

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New post 17 Jul 2019, 00:50
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List M consists of the numbers 10, 20, 30, 40, 50.

Which of the following lists of numbers have an average (arithmetic mean) that is equal to the average of the numbers in list M?

I. 10, 20, 30, 35, 50
II. 10, 22, 30, 38, 50
III. 0, 0, 0, 0, 150

A. I only
B. II only
C. III only
D. II and III only
E. I, II, and III

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Re: List M consists of the numbers 10, 20, 30, 40, 50. Which of the follo  [#permalink]

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New post 17 Jul 2019, 01:04
Average = 150/5 = 30

Only option. 2 and 3 match

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Re: List M consists of the numbers 10, 20, 30, 40, 50. Which of the follo  [#permalink]

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New post 17 Jul 2019, 01:25
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List M = 10, 20, 30, 40, 50 - List M is an ordered set with odd number of consecutive multiples of 10. So mean = median = 30

I. 10, 20, 30, 35, 50 - Same as list M except for one element which is 5 less than corresponding element in list M - Average will be less than list M

II. 10, 22, 30, 38, 50 - Same as list M except 2 more in second element and 2 less in fourth element - Sum will remain unchanged and so average is same as list M

III. 0, 0, 0, 0, 150 - Average is 150/5 = 30 - Same as list M

Only II and III

Answer is (D)
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List M consists of the numbers 10, 20, 30, 40, 50. Which of the follo  [#permalink]

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New post 17 Jul 2019, 01:28
Bunuel wrote:
List M consists of the numbers 10, 20, 30, 40, 50.

Which of the following lists of numbers have an average (arithmetic mean) that is equal to the average of the numbers in list M?

I. 10, 20, 30, 35, 50
II. 10, 22, 30, 38, 50
III. 0, 0, 0, 0, 150

A. I only
B. II only
C. III only
D. II and III only
E. I, II, and III


Given: List M consists of the numbers 10, 20, 30, 40, 50. Average = 30
Question: Which of the following lists of numbers have an average (arithmetic mean) that is equal to the average of the numbers in list M?

I. 10, 20, 30, 35, 50
\(Average=\frac{10+20+30+35+50}{5}\) = 29
II. 10, 22, 30, 38, 50
\(Average = \frac{10+22+30+38+50}{5}\) = 30
III. 0, 0, 0, 0, 150
Average = \(\frac{150}{3}\) = 30

IMO D
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Re: List M consists of the numbers 10, 20, 30, 40, 50. Which of the follo  [#permalink]

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New post 17 Jul 2019, 01:30
The thing to notice here is that this is an evenly spaced set and hence median shall be equal to mean. Clearly median=mean=30

For 2- it is the same as original set, take 2 from 22 and give it to 38.
For 3- 150/5- 30

Both 2 and 3 match

Answer D
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Re: List M consists of the numbers 10, 20, 30, 40, 50. Which of the follo  [#permalink]

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New post 17 Jul 2019, 08:02
Average of list M =30
Only 2nd and 3rd list's average is 30
Hence Answer is D
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Re: List M consists of the numbers 10, 20, 30, 40, 50. Which of the follo   [#permalink] 17 Jul 2019, 08:02
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