Question

The average of the first$20$ results is$20$ and that of the next$30$ results is$30$. What is the average of all $50$results?

• A. $26$
• B. $25$
• C. $24$
• D. $50$

Answer 1

The correct option is A

$26$

Correct option: (a)$26$

We know that,

$Average=\frac{totalsum}{totalnumber}$

So, applying this we have,

Average of first $20$results$=20$

So sum of first $20$ results$=20\times 20=400$

Average of next $30$ results$=30$

So sum of next $30$results $=30\times 30=900$

Thus,

Total sum of $50$results $=900+400=1300$

Now,

Average of $50$ results$=\frac{1300}{50}=26$

Thus, Average of $50$ results is $26$

Hence option (a) is the correct option.