Question
Download Solution PDFThe average of v numbers is w2 and that of w numbers is v2. Then the average of all the numbers is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Average of v numbers = w2
Average of w numbers = v2
Formula used:
Total average = (Total sum of v numbers + Total sum of w numbers) / (v + w)
Calculation:
Total sum of v numbers = v × w2
Total sum of w numbers = w × v2
⇒ Total average = (v × w2 + w × v2) / (v + w)
⇒ Total average = vw(v + w) / (v + w)
⇒ Total average = vw
∴ The correct answer is vw.
Last updated on Jun 3, 2025
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