The mean of 10 numbers is 0. If 38 and −2 are included in these numbers, the new mean will be:

1. Find the initial sum of the first 10 numbers:
Sum
10
​
=Mean×Total Count=0×10=0
Find the new total sum after including 38 and −2:

Sum
new
​
=Sum
10
​
+38+(−2)
Sum
new
​
=0+38−2=36
Find the total number of entries now:

Count
new
​
=10+2=12
Compute the new mean:

New Mean=
Count
new
​

Sum
new
​

​
=
12
36
​
=3