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Given the set: # {2,-1,-3,x,-3,2} #, for what x would the mean of the set be 3?

Answer 1

Nora Amin

#x = 21#

The equation is obtained by dividing the total number of elements in the set by the number of elements in the mean.

#"mean" = (2+(-1)+(-3)+x+(-3)+(2))/6 = 3#

#=> (x - 3)/6 = 3#

#=> x - 3 = 18#

#=> x = 21#

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Answer 2

Josiah Allen

To find the mean of a set of numbers, you sum all the numbers together and then divide by the total count of numbers. In this case, the mean of the set is given as 3.

So, the sum of all numbers in the set is: (2 + (-1) + (-3) + x + (-3) + 2)

This sum equals (2x - 3).

To make the mean of the set equal to 3, you set up the equation:

[\frac{{2x - 3}}{{6}} = 3]

Solve for (x):

[2x - 3 = 18] [2x = 21] [x = \frac{{21}}{{2}}]

Therefore, for the mean of the set to be 3, (x) must equal (\frac{{21}}{{2}}), or 10.5.

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Answer from HIX Tutor

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