MathematicsThe mean of five numbers is 30. If one number is excluded, then it becomes 28. The excluded number is

The mean of five numbers is 30. If one number is excluded, then it becomes 28. The excluded number is

Mean of five numbers

= 30

Sum of 5 numbers $= 5 \times 30 = 150$

One numbers $(x)$ is excluded Mean becomes 28

$∴$ Mean $= \frac{150 - x}{4} = 28$

$150 - x = 112$

$- x = 112 - 150$

$- x = - 38$

$x = 38$

$∴$ Excluded Number, $x = 38$

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