a city in Hawaii

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members; Location: India; Thanked: 267 times; GMAT Score:760

by sanju09 » Wed Jul 07, 2010 4:36 am

The table attached shows the temperatures, in degrees Fahrenheit, in a city in Hawaii over a one-week period. If m represents the median temperature, f represents the temperature that occurs most often, and a represents the average (arithmetic mean) of the seven temperatures, which of the following is the correct order of m, f, and a?
(A) a < m < f
(B) a < f < m
(C) m < a < f
(D) m < f < a
(E) a = m < f

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Source: Beat The GMAT — Problem Solving | Wed Jul 07, 2010 4:36 am

gmatmachoman: Legendary Member; Posts: 2326; Joined: Mon Jul 28, 2008 3:54 amFollowed by: 2 members; Thanked: 173 times; GMAT Score:710

by gmatmachoman » Wed Jul 07, 2010 4:41 am

Pick A

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https://www.beatthegmat.com/r-d-on-gmat- ... tml#305739

temp33: Newbie | Next Rank: 10 Posts; Posts: 6; Joined: Sun Jun 20, 2010 7:30 am; Location: Delhi

by temp33 » Wed Jul 07, 2010 4:44 am

The temperatures are:

(in increasing order): 66, 69, 70, 75, 77, 78, 78
Median temperature: 75 (m)
Most often temperature: 78 (f)
Average temperature: 513/7 = 73.28 (a)

Therefore, order should be a < m < f.

Is this what your answer is ? I can't seem to find a choice similar to this... [/i]

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Rahul@gurome: GMAT Instructor; Posts: 1179; Joined: Sun Apr 11, 2010 9:07 pmFollowed by: 88 members; Location: Milpitas, CA; Thanked: 447 times

by Rahul@gurome » Wed Jul 07, 2010 4:48 am

Median, m = 75
Mode, f = 78
Average, a = 73.2
So, 73.2 < 75 < 78 that is a < m < f

The correct answer is (A).

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outreach: Legendary Member; Posts: 748; Joined: Sun Jan 31, 2010 7:54 amFollowed by: 3 members; Thanked: 46 times

by outreach » Wed Jul 07, 2010 9:07 am

66 69 70 75 77 78 78
m=75
f=78
a=73

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