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# The average (arithmetic mean) of the coordinates of the 7 labeled poin

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Math Expert
Joined: 02 Sep 2009
Posts: 48037
The average (arithmetic mean) of the coordinates of the 7 labeled poin  [#permalink]

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09 Jul 2018, 06:03
00:00

Difficulty:

45% (medium)

Question Stats:

57% (01:27) correct 43% (01:25) wrong based on 35 sessions

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The average (arithmetic mean) of the coordinates of the 7 labeled points on the number line is how much greater or less than the median of the coordinates of the 7 labeled points?

A. 4/7 greater
B. 3/7 greater
C. 1/2 greater
D. 3/7 less
E. 4/7 less

Attachment:

line.jpg [ 14.45 KiB | Viewed 370 times ]

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Re: The average (arithmetic mean) of the coordinates of the 7 labeled poin  [#permalink]

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09 Jul 2018, 06:11

Solution

To find:
• The average (arithmetic mean) of the coordinates of the 7 labeled points on the number line is how much greater or less than the median of the coordinates of the 7 labeled points

Approach and Working:
The points are:
• A: -4
• B: -3
• C: 0
• D: 1
• E: 2
• F: 3
• G: 4

Average = $$\frac{1}{7} (-4 + -3 + 0 + 1 + 2 + 3 + 4) = \frac{3}{7}$$
Median = 4th term = 1
• Average – median = $$\frac{3}{7} – 1 = \frac{-4}{7}$$

Hence, the correct answer is option E.

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Re: The average (arithmetic mean) of the coordinates of the 7 labeled poin  [#permalink]

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09 Jul 2018, 06:52
Bunuel wrote:

The average (arithmetic mean) of the coordinates of the 7 labeled points on the number line is how much greater or less than the median of the coordinates of the 7 labeled points?

A. 4/7 greater
B. 3/7 greater
C. 1/2 greater
D. 3/7 less
E. 4/7 less

Attachment:
line.jpg

Average of the seven points is $$\frac{-4 - 3 +0 + 1 + 2 + 3 + 4}{7}$$ = $$\frac{3}{7}$$

Median of these seven points is 1

So, The Median is less than the Average by $$\frac{3}{7}- 1 = \frac{4}{7}$$, Answer must be (E)
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Re: The average (arithmetic mean) of the coordinates of the 7 labeled poin &nbs [#permalink] 09 Jul 2018, 06:52
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# The average (arithmetic mean) of the coordinates of the 7 labeled poin

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