1 Answer

GuyH · Answer 1 · 2023-12-21T20:07:11+0000

Mean : The "mean" is the "average" , for which add up all the numbers and then divide by the number of numbers.

$\text{ Mean =}\frac{\text{ Sum of all numbers in the data}}{Total\text{ number of data}}$

The given set of data; 98, 121, 104, 113, 107, x

Sum of all data : 98 + 121 + 104 + 113 + 107 + x = 543 + x

Total numbers of data : 6

Mean of the data : 116

Substitute the value in the expression of mean;

$\begin{gathered} \text{ Mean =}\frac{\text{ Sum of all numbers in the data}}{Total\text{ number of data}} \\ 116=(543+x)/(6) \end{gathered}$

Simplify the expression for x;

$\begin{gathered} 116=(543+x)/(6) \\ 543+x=116*6 \\ 543+x=696 \\ x=696-543 \\ x=153 \end{gathered}$

So, the number is 153

Answer : x = 153

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