Question

The mean of $6$ numbers is $42$ If one number is excluded, the mean of remaining numbers is $45$. Find the excluded number.

• A. $27$
• B. $25$
• C. $30$
• D. $32$

Answer 1

The correct option is A $27$

mean of $6$ numbers = $42$
Sum of $6$ numbers = $42\times 6$ = $252$
After excluding one number,
mean of $5$ numbers = $45$
Sum of $5$ numbers = $45\times 5$ = $225$
Thus, the number excluded = $252-225=27$