The value of x in the data set is 163.
Step-by-step explanation:
Given set is;
100, 119, 106, 113, 107, x
No. of terms = 6
Average = 118
Average = [tex]\frac{Sum\ of\ terms}{No.\ of\ terms}[/tex]
[tex]118=\frac{100+119+106+113+107+x}{6}\\\\118=\frac{545+x}{6}[/tex]
Multiplying both sides by 6
[tex]6*118=\frac{545+x}{6}*6\\708=545+x\\708-545=x\\163=x\\x=163[/tex]
The value of x in the data set is 163.
Keywords: average, addition
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