Question

The mean of six numbers is 32. If one of the number is removed, the mean is reduced by 2. Find the excluded number.

• A. 34
• B. 30
• C. 40
• D. 42

Answer 1

The correct option is D 42

Given, the mean of six numbers=32
$\frac{Sumofallscores}{Totalnumberofscores}$ = 32
$\therefore$Sum of all scores = 32$\times$ 6 = 192.
After one number is excluded,
mean = 32-2 = 30
Total number of scores = 6-1=5
$\frac{Sumofnumbersafterexcludingonenumber}{5}=30$
$⟹$Sum of all numbers after excluding one number = 30$\times$ 5= 150
$\therefore$ Excluded number= 192-150 = 42.