Question

The mean of 10 observations is 15.5. By an error, one obervation is registered as 13 instead of 34. The actual mean is 17.6
If true then enter $1$ and if false then enter $0$

• A. 1
• B. 0
• C. Can't determine
• D. None of these

Answer 1

The correct option is A 1

Mean of 10 numbers = $15.5$
Sum of these 10 numbers = $155$
After replacing the wrong number $13$ with correct number $34$, sum = $155-13+34$ = $176$
Mean = $\frac{Sum}{Numberofobservations}$ = $\frac{176}{10}=17.6$