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goaliegirl1331
Answer is 19

If you add all of the numbers together including 19. You would get 165, then divide the total by 5. Your answer would be 33!
VectorFundament120

Answer:

19

Step-by-step explanation:

Given:

  • data = [19,27,64,36]
  • mean value = 33

To find:

  • another data / last data

Therefore:

  • New data is 19,27,64,36,x
  • Where x is an unknown value/data.

Mean Value:

[tex]\displaystyle \large{m=\dfrac{1}{n}\sum_{i =1}^n x_i \to \dfrac{x_1+x_2+x_3+...+x_n}{n}}[/tex]

  • m = mean value
  • x1+x2+x3+...+xn = sum of all data
  • n = amount of data

Therefore:

[tex]\displaystyle \large{33=\dfrac{19+27+64+36+x}{5}}[/tex]

Solve for x - first, multiply both sides by 5 to clear out the denominator:

[tex]\displaystyle \large{33\cdot 5=\dfrac{19+27+64+36+x}{5} \cdot 5}\\\displaystyle \large{165=19+27+64+36+x}[/tex]

Evaluate the sum:

[tex]\displaystyle \large{165=146+x}[/tex]

Subtract both sides by 146:

[tex]\displaystyle \large{165-146=146-146+x}\\\displaystyle \large{19=x}[/tex]

Therefore, another value/data that will give a mean value of 33 is 19.

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