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Given a set # {13, x ,-1, 11} #, for what x would the mean of the set be 3?

Answer 1

Gabriel Allred

#x=(-11)#

Sum: #13+x+(-1)+11 = 23+x#

Mean: #("Sum")/("Count") =(23+x)/4#

If Mean #=3# #color(white)("XXX")(23+x)/4=3#

#color(white)("XXX")23+x=12#

#color(white)("XXX")x=-11#

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Answer 2

Adrian Alexander

To find the mean of a set, you sum all the numbers in the set and then divide by the total number of elements in the set.

For the given set {13, x, -1, 11}, the mean is 3 when:

(13 + x + (-1) + 11) / 4 = 3

Solving for x:

(13 + x - 1 + 11) / 4 = 3 (23 + x) / 4 = 3 23 + x = 3 * 4 23 + x = 12 x = 12 - 23 x = -11

Therefore, for x = -11, the mean of the set {13, x, -1, 11} would be 3.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.