First we compute for x using the mean value of the given array, that is:
4 = [ x + 3 + (4x-3) + (x+4) + (-16) + 9 + (x-4) ] / 7
28 = 7x - 7
28 + 7 = 7x
35 = 7x
x = 5.
Plugging the value of x to the original array, the observations now become
(5, 3, 17, 9, -16, 9, 1)
Since median is the middle value of the arranged observations or values in the given array, that is, it is the value that divides the given array into two equal parts. Thus, we then sort the given array in ascending order, that is:
(-16, 1, 3, 5, 9, 9, 17)
Because we have n = 7 observations (which is an odd number), the median is computed as the (n + 1)/2 th observation in the ordered array. If we use the ordered array, the median is the 4th observation, that is
median = 5.
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NOTE: In number theory, a number n is said to be an odd number if it is not divisible by 2. That is, there exists an integer, say k, such that n = 2k - 1.
2006-11-10 14:56:21
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answer #1
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answered by rei24 2
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Firstly, you have to find the value of x:
(x+3+4x-3+x+4+(-16)+9+x-4)/7 = 4
(7x+(-7))/7 = 4
7x-7 = 28
7x = 28+7
7x = 35
x = 5
There are altogether 7 numbers. To find median, take (7+1)/2 = 4. Thus, the median is in the 4th position. Before u find the median, you must arrange the values in ascending order.
x = 5, 3 = 3, 4x-3 = 17, x+4 = 9, -16 = -16, 9 = 9, x-4 = 1
Ascending order: -16, 1, 3, 5, 9, 9, 17
Since the median is in the 4th position and number 5 is in the 4th position, the median is 5.
2006-11-10 14:34:28
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answer #2
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answered by Anonymous
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If the advise of x,3,4x-3, x+4, -sixteen, 9 and x-4 is 4, which ability all of those numbers further mutually, divided by ability of what number numbers there are, is 4.. So... (x+3+(4x-3)+(x+4)+(-sixteen)+9+(x-4))/7=4 Then, only assemble like words and do the algebra... (x+3+4x-3+x+4-sixteen+9+x-4)/7=4 (7x-7)/7=4 7x-7=28 7x=35 x=5 The advise of (5, 3, 17, 9, -sixteen, 9, a million) is 4 The median of (-sixteen, a million, 3, 5, 9, 9, 17) is 5
2016-10-21 21:28:21
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answer #3
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answered by ? 4
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Add the terms together and divide by 7 to set it equal to the mean. Solve for x, then solve for each term and find the median (the middle number).
(x + 3 + 4x-3 + x+4 -16 +9 + x-4)/7 = 4
7x -7 = 28
x = 5
So the numbers, in order, are:
-16, 1, 3, 5, 9, 9, 17
The median is 5.
2006-11-10 14:35:06
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answer #4
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answered by just♪wondering 7
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there are 7 numbers
[(x) + (3) + (4x - 3) + (x + 4) + (-16) + (9) + (x - 4)] / 7 = 4
(x) + (3) + (4x - 3) + (x + 4) + (-16) + (9) + (x - 4) = 28
combine like terms
7x - 7 = 28
7x = 35
x = 5
the numbers are:
{5, 3, 17, 9, -16, 9, 1}
arrange them in order from least to greatest
{-16, 1, 3, 5, 9, 9, 17}
take the number in the middle of the set. That number is your median
ANSWER
5
2006-11-10 14:28:22
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answer #5
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answered by trackstarr59 3
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5
2006-11-10 15:58:10
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answer #6
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answered by J 6
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1st find thesolve for x given the mean is 4
(x+ 3 + 4x-3 + x+4 + -16 +9 + x-4)/7=4
(7x-7)/7=4
7x-7=28
7x=35
x=5
now let x =5 to get {5,3,17,9,-16,9,1} = {-16,1,3,5,9,9,17}
median is middle score which appears to be 5
2006-11-10 14:35:09
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answer #7
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answered by ivblackward 5
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Set up the equation so that you add up all those terms, divide by 7, and make that equal to 4. Solve for x, substitute it in for all those values with x. Then arrange those 7 terms from smallest to largest. The answer is the one in the middle.
2006-11-10 14:24:34
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answer #8
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answered by MateoFalcone 4
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