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What is the difference between the average (arithmetic mean) and the m

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 5593
GMAT 1: 800 Q59 V59
GPA: 3.82
What is the difference between the average (arithmetic mean) and the m [#permalink]

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17 May 2017, 01:34
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Difficulty:

5% (low)

Question Stats:

94% (00:38) correct 6% (01:22) wrong based on 50 sessions

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What is the difference between the average (arithmetic mean) and the median of 40, 41, 42, 43, 44, 45, and 46?

A. 0
B. 1
C. 1.5
D. 2
E. 2.5

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"Only $99 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Manager Joined: 14 Apr 2017 Posts: 248 Location: India sandeep : sharma Concentration: International Business, Entrepreneurship GPA: 3.9 Re: What is the difference between the average (arithmetic mean) and the m [#permalink] Show Tags 17 May 2017, 02:31 40, 41,42,43,44,45,46 median =43 AM = (40+41+42+43+44+45+46)/7 =43 Difference = 43-43=0 _________________ Senior Manager Joined: 07 Jul 2012 Posts: 335 Location: India Concentration: Finance, Accounting GPA: 3.5 Re: What is the difference between the average (arithmetic mean) and the m [#permalink] Show Tags 17 May 2017, 02:49 Average (arithmetic mean) of the given series= $$\frac{(40+41+42+43+44+45+46)}{7}$$= 43 Median of the given series is the middle value: Middle Value is 43. So, median = 43 Difference= 43-43= 0 Answer: A. Kudos please if you like my explanation! _________________ Kindly hit kudos if my post helps! DS Forum Moderator Joined: 22 Aug 2013 Posts: 1203 Location: India What is the difference between the average (arithmetic mean) and the m [#permalink] Show Tags 17 May 2017, 04:54 1 If a given set of numbers are in Arithmetic Progression (AP), then their Arithmetic Mean = their Median. This is true for every AP series. So, in that case difference between Arithmetic Mean and Median is 0. We can observe that the given set of numbers are in AP (With a common difference of 1). Hence difference between Arithmetic Mean and Median will be 0. Answer is A Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 5593 GMAT 1: 800 Q59 V59 GPA: 3.82 Re: What is the difference between the average (arithmetic mean) and the m [#permalink] Show Tags 19 May 2017, 01:52 ==> For consecutive integers, the median and the average is equal. Thus, the difference is always 0. The answer is A. Answer: A _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$99 for 3 month Online Course"
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BSchool Forum Moderator
Joined: 12 Aug 2015
Posts: 2642
GRE 1: 323 Q169 V154
Re: What is the difference between the average (arithmetic mean) and the m [#permalink]

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07 Aug 2017, 22:33
Fun fact -> For any Arithmetic progression => Mean = Median = Average of the first and the last term.

Hence the mean = median => Difference = ZERO.

Hence A.
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Re: What is the difference between the average (arithmetic mean) and the m   [#permalink] 07 Aug 2017, 22:33
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