Question

The mean of $55$ numbers is $18$. If one number is excluded, the mean of remaining numbers becomes $16$. Find the excluded number.

• A. $26$
• B. $126$
• C. $130$
• D. $125$

Answer 1

Answer: (B)

$126$

Mean of $55$ numbers $=18$
Sum of $55$ numbers $=18\times 55=990$
After excluding one number,
Mean of $54$ numbers $=16$
Sum of $54$ numbers $=16\times 54$ = $864$
thus, the number excluded $=990-864=126$