Question : If the arithmetic mean of 7,5,13, $x$ and 9 is 10, then the value of $x$ is:
Option 1: 10
Option 2: 12
Option 3: 14
Option 4: 16
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Correct Answer: 16
Solution :
We know, Mean = $\frac{\text{Sum of the numbers}}{\text{Total numbers in count}}$
⇒ $10 =\frac{7+5+13+x+9}{5}$
⇒ $10 =\frac{34+x}{5}$
⇒ $50 = 34 +x$
$\therefore x = 16$
Hence, the correct answer is 16.
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