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For the positive integers x, x + 2, x + 4, x + 7, and x + 12, the mean 21 Feb 2016, 13:49
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For the positive integers x, x + 2, x + 4, x + 7, and x + 12, the mean is how much greater than the median?

A. 0
B. 1
C. 2
D. 4
E. 7


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B
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For the positive integers x, x + 2, x + 4, x + 7, and x + 12, the mean 21 Feb 2016, 20:38
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Median = x + 4
Mean = (5x + 25)/5 = x + 5

Mean - Median = x + 5 - x - 4 = 1

Answer: B
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For the positive integers x, x + 2, x + 4, x + 7, and x + 12, the mean 21 Feb 2016, 20:40
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Sum of the given integers = x + x+2 + x+4 + x+7 + x+12
= 5x +25
= 5(x+5)

Mean = Sum/ number of numbers
= 5(x+5)/5
=x+5
Median = x+4

Mean - median = x+5 - (x+4)
= 1

Answer B
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For the positive integers x, x + 2, x + 4, x + 7, and x + 12, the mean 21 Feb 2016, 21:30
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Bunuel
For the positive integers x, x + 2, x + 4, x + 7, and x + 12, the mean is how much greater than the median?

A. 0
B. 1
C. 2
D. 4
E. 7


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Mean: Average of all the numbers. (Sum of all the elements of the set divided by the number of elements in the set)
Median: Arrange the elements of the set in increasing order. If the number of terms is odd, the middle term is the median. If the number of terms is even, the average of middle two terms is the median

Median = x + 4
Mean = (5x + 25)/5 = x + 5

Therefore mean is 1 greater than the median.
Option B
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For the positive integers x, x + 2, x + 4, x + 7, and x + 12, the mean 21 Feb 2016, 22:40
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Mean = (x + x+2 + x+4 + x+7 + x+12)/5
=(5x+25)/5
=x+5

Median = x+4
Thus Mean - Median = x+5 - x+4
=1

Answer = B
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For the positive integers x, x + 2, x + 4, x + 7, and x + 12, the mean 21 Feb 2016, 22:53
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Bunuel
For the positive integers x, x + 2, x + 4, x + 7, and x + 12, the mean is how much greater than the median?

A. 0
B. 1
C. 2
D. 4
E. 7


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Hi,
We can further simplify x, x + 2, x + 4, x + 7, and x + 12 to 0, 2, 4, 7, 12, as x is common to all five terms..
MEAN of 0, 2, 4, 7, 12= (0+2+4+7+12)/5=5
median=4..
difference=5-4=1..
B
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For the positive integers x, x + 2, x + 4, x + 7, and x + 12, the mean 22 Feb 2016, 16:02
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MEAN
mean = [(x) + (x + 2) + (x + 4) + (x + 7) + (x + 12)/5
= (5x + 25)/5
= x + 5

MEDIAN
The 5 values are already arranged in ASCENDING order {x, x + 2, x + 4, x + 7, x + 12}
So, the median = the middle value = x + 4

The mean is how much greater than the median?
In other words x + 5 is how much greater than the x + 4?
Answer = (x + 5) - (x + 4)
= 1

Answer: B

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For the positive integers x, x + 2, x + 4, x + 7, and x + 12, the mean 04 May 2018, 10:33
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Bunuel
For the positive integers x, x + 2, x + 4, x + 7, and x + 12, the mean is how much greater than the median?

A. 0
B. 1
C. 2
D. 4
E. 7
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Let’s first calculate the mean of the 5 values:

(x + x + 2 + x + 4 + x + 7 + x + 12)/5 = (5x + 25)/5 = x + 5

The median is x + 4.

So the difference is:

x + 5 - (x + 4) = 1

Answer: B
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