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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # Five numbers in a set are arranged from least to greatest. I  Question banks Downloads My Bookmarks Reviews Important topics
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Retired Moderator Joined: 07 Jun 2014
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Five numbers in a set are arranged from least to greatest. I [#permalink]
Expert's post 00:00

Question Stats: 100% (01:07) correct 0% (00:00) wrong based on 18 sessions
Five numbers in a set are arranged from least to greatest. If the median of the first two numbers is 13 and the average (arithmetic mean) of the remaining numbers is 23, what is the average (arithmetic mean) of the entire set?

Drill 2
Question: 4
Page: 524-525

[Reveal] Spoiler: OA
19

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Sandy
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Retired Moderator Joined: 07 Jun 2014
Posts: 4808
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 145

Kudos [?]: 2282 , given: 393

Re: Five numbers in a set are arranged from least to greatest. I [#permalink]
Expert's post
Explanation

Take the problem a piece at a time. If a set has only two numbers, the median is the average of those two numbers. Set up average wheels for each of the first two averages.

For the first one, two numbers that average 13 total to 26. For the second average, three numbers that average 23, so the must have a total of 69. Set up one final average wheel for all five numbers: 5 numbers total 95. Solve for the average, and you should get 19 from $$95 \div 5$$.
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Sandy
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Re: Five numbers in a set are arranged from least to greatest. I [#permalink]
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Expert's post
sandy wrote:
Five numbers in a set are arranged from least to greatest. If the median of the first two numbers is 13 and the average (arithmetic mean) of the remaining numbers is 23, what is the average (arithmetic mean) of the entire set?

Five numbers in a set are arranged from least to greatest.
Let the number be a, b, c, d, and e (where a < b < c < d < e)

The median of the first two numbers is 13
So, (a + b)/2 = 13
Multiply both sides by 2 to get: a + b = 26

The average (arithmetic mean) of the remaining numbers is 23
So, (c + d + e)/3 = 23
Multiply both sides by 3 to get: c + d + e = 69

What is the average (arithmetic mean) of the entire set?
Average of entire set = (a + b + c + d + e)/5
= (26 + 69)/5
= 95/5
= 19

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Re: Five numbers in a set are arranged from least to greatest. I [#permalink]
(26+69)/5
19 Re: Five numbers in a set are arranged from least to greatest. I   [#permalink] 23 Jan 2018, 10:48
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