Multiple choice

$2, 10, m, 12, 4$ A group of $5$ integers is shown above. If the average (arithmetic mean) of the numbers is equal to $m$, find the value of $m$.

  1. $7$
  2. $8$
  3. $9$
  4. $10$
  5. $11$
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A Correct answer
Explanation

The average of (2, 10, m, 12, 4) is (28 + m) / 5. Setting this equal to m gives 28 + m = 5m, so 4m = 28, m = 7.

AI explanation

Use the arithmetic mean formula to set up the equation (2 + 10 + m + 12 + 4) / 5 = m. This simplifies to (28 + m) / 5 = m. Multiplying both sides by 5 gives 28 + m = 5m, meaning 28 = 4m and resulting in m = 7.

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