Question

The mean of 10 observations is 16.3. If one observation is registered as 32 instead of 23, then new mean is

• A. 14.8
• B. 15.4
• C. 16.1
• D. 16.6

Answer 1

Answer: (B)

15.4

Mean of $10$ observations is $16.3$

$\therefore$ Sum of $10$ observations$=163$

Given that $23$ are registered as $32$

$\therefore$ The corrected sum will be $(163.32+23)=131+23=154$

$\therefore$ Mean corrected$=\frac{154}{10}=15.4$