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A line is marked with the points 4, 3, 2, 1, 0, 1, 2, 3, and 4 at
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07 Oct 2024, 23:50
07 Oct 2024, 23:50
Expert Reply
00:00
Question Stats:
50% (02:03) correct
50% (00:21) wrong based on 6 sessions
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A line is marked with the points –4, –3, –2, –1, 0, 1, 2, 3, and 4 at equal distances. The points –4, –3, 0, 1, 2, 3, 4 are labeled with alphabets from A to G. By what value is the mean of the labeled numbers less than the median of the labeled numbers?
A. 0
B. 2/7
C. 4/7
D. 4/3
E. 2
A. 0
B. 2/7
C. 4/7
D. 4/3
E. 2
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A line is marked with the points 4, 3, 2, 1, 0, 1, 2, 3, and 4 at
[#permalink]
15 Dec 2024, 04:11
15 Dec 2024, 04:11
Expert Reply
The labeled numbers are $\(-4,-3,0,1,2,3,4\)$ i.e. a total of 7 numbers, so the median of the labeled numbers is $\(4^{\text {th \)$ value i.e. 1
Now, the arithmetic mean of the labeled numbers is $\(\frac{(-4)+(-3)+0+1+2+3+4}{7}=\frac{3}{7}\)$
So, the value of the mean i.e. $\(\frac{3}{7}\)$ is $\(1-\frac{3}{7}=\frac{4}{7}\)$ less than the median $\((=1)\)$.
C
Now, the arithmetic mean of the labeled numbers is $\(\frac{(-4)+(-3)+0+1+2+3+4}{7}=\frac{3}{7}\)$
So, the value of the mean i.e. $\(\frac{3}{7}\)$ is $\(1-\frac{3}{7}=\frac{4}{7}\)$ less than the median $\((=1)\)$.
C
gmatclubot
A line is marked with the points 4, 3, 2, 1, 0, 1, 2, 3, and 4 at [#permalink]
15 Dec 2024, 04:11
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