Question:
If the mean of five observations \( x, 2x+5, 13, 2x-7, \) and 9 is 22, then the value of \( x \) is:
If the mean of five observations \( x, 2x+5, 13, 2x-7, \) and 9 is 22, then the value of \( x \) is:
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When calculating the mean, ensure to simplify the numerator properly before dividing by the number of terms.
Updated On: Mar 7, 2025
- 20
- 15
- 10
- 12
- 18
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The Correct Option is
Solution and Explanation
The mean is given as:
\[
\frac{x + (2x+5) + 13 + (2x-7) + 9}{5} = 22
\]
Simplify the expression:
\[
\frac{x + 2x + 5 + 13 + 2x - 7 + 9}{5} = 22
\]
\[
\frac{5x + 20}{5} = 22
\]
\[
5x + 20 = 110
\]
\[
5x = 90
\]
\[
x = 18
\]
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