Multiple choice

The average of a set of 20 numbers is 30 and that of another set of 30 numbers is 50. What is the average of all the numbers?

  1. 42

  2. 47

  3. 44

  4. 45
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A Correct answer
Explanation

Total sum = (20 * 30) + (30 * 50) = 600 + 1500 = 2100. Total numbers = 20 + 30 = 50. Average = 2100 / 50 = 42.

AI explanation

Using the weighted average formula, the combined average is calculated as (20 times 30 plus 30 times 50) divided by the total number of values, which is 50. This gives a total sum of 600 plus 1500, resulting in 2100. Dividing 2100 by 50 yields an overall average of 42.

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