Mean

if the mean of the set of data 5, 17, 19, 14, 15, 17, 7, 11, 16, 19, 5, 5, 10, 8, 13, 14, 4, 2, 17, 11, x is -91.74, what is the value of x?

Correct answer:

x =  -2155.54

Step-by-step explanation:

$$\begin{gathered} -91.74={\displaystyle \frac{5+17+19+14+15+17+7+11+16+19+5+5+10+8+13+14+4+2+17+11+x}{21}} \\ x=21\cdot (-91.74)-(5+17+19+14+15+17+7+11+16+19+5+5+10+8+13+14+4+2+17+11)=-2155.54 \end{gathered}$$

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