Verified Answer :

melhunt99

To find X I like to average backwards: so Multiply 11.5 by 4 =46. Subtract 12.5, -10, and -7.5 =51. X=51. Then check by adding 12.5, -10, -7.5, and 51 then divide by 4 and you get 11.5 :)

mominetti

Answer:

Hi!

The correct answer is x = 51.

Step-by-step explanation:

By definition the mean formula is:

\(mean = \frac{x_1 + x_2 + x_3 + ... + x_n}{n}\)

where x are the samples of the data set and n the numbers of elements in the set.

In this case:

  • n = 4
  • mean = 11.5

Replacing the data on the general formula:

\(11.5 = \frac{12.5 - 10 - 7.5 + x}{4}\)

Solving the equation step by step,

\(4 * 11.5 = -5 + x}\)

\(46 = -5 + x}\)

\(51 = x}\)

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