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Question
If the arithmetic mean, 7, 8, x, 11, 14 is x, then x =
Options
9
9.5
10
10.5
MCQ
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Solution
The given observations are 7, 8, x, 11, 14.
Mean = x (Given)
Now,
\[\text { Mean } = \frac{7 + 8 + x + 11 + 14}{5}\]
\[ \Rightarrow x = \frac{40 + x}{5}\]
\[ \Rightarrow 5x = 40 + x\]
\[ \Rightarrow 4x = 40\]
\[ \Rightarrow x = 10\]
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