Question

The mean of $5$ numbers is $18$. If one number is excluded, the mean of remaining numbers becomes $16$. Find the excluded number.

• A. $26$
• B. $25$
• C. $24$
• D. $20$

Answer 1

Answer: (A)

$26$

Mean of $5$ observations = $18$
Sum of $5$ observations = $18\times 5$ = $90$
If one number is excluded then,
Mean of $4$ observations = $16$
Sum of $4$ observations = $16\times 4$ = $64$
Thus, the number excluded = $90-64=26$