Multiple choice

The average of $50$ numbers is $38$. If two numbers namely $45$ and $55$ are discarded, the average of the remaining numbers is

  1. $37.5$
  2. $38.5$
  3. $36.5$
  4. $37$
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A Correct answer
Explanation

The initial sum of 50 numbers is 50 * 38 = 1900. After removing 45 and 55 (total 100), the new sum is 1800. The new average of 48 numbers is 1800 / 48 = 37.5.

AI explanation

Using the basic average formula, the total sum of the 50 numbers is 50 multiplied by 38, which equals 1900. After discarding 45 and 55, the new sum becomes 1800 and the count becomes 48. Dividing 1800 by 48 gives the new average of 37.5.

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