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

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

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New post 09 Jul 2018, 06:03
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A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

62% (01:35) correct 38% (01:27) wrong based on 44 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


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

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New post 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.

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

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New post 09 Jul 2018, 06:52
Bunuel wrote:
Image
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   [#permalink] 09 Jul 2018, 06:52
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