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Using all of the numbers 2,3,5,7,8 write down a set of numbers that have the property...

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stockfish | Student, Undergraduate | eNotes Newbie

Posted November 26, 2011 at 5:01 PM via web

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Using all of the numbers 2,3,5,7,8 write down a set of numbers that have the property mean=median=mode

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sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted November 26, 2011 at 5:45 PM (Answer #1)

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You need to remember that the mean is equal to median if the distribution is symmetrical.

The graph has a bell shape and the portions above and below a fixed point (vertex of the bell) are mirror images.

For the numbers you've given, the mean is:

mean = (2+3+5+7+8)/5 = 25/5 = 5

median = the middle number of the five given values = 5

ANSWER: The median=mean=5, therefore you may obtain a symmetric distribution of the numbers.

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atyourservice | Student , Grade 10 | eNoter

Posted April 17, 2014 at 2:46 AM (Answer #2)

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2,3,5,7,8

Just add another 5 in the middle

2,3,5,5,7,8

check:

5 +5=10/2=5

mean= 2+3+5+5+7+8=30/6=5

mode=5 because it appears the most

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