The following data points represent the number of chicken nuggets on each family member's plate. 1, 3, 0, 6? if the mean of the data set is 3 chicken nuggets, find the missing number of chicken nuggets.

The question assumes there are 5 people at the table. So the number of nuggets are: 1,3,0,6,and x. So your equation is:

 

So let's solve what we can of the numerator first: 
1+3+0+6+x=10+x

So now we have:


We can multiply both sides by 5 to clear the denominator:


Now we isolate the x by subtracting 10 from both sides.
10+x-10=15-10
x=5

So the missing number of nuggets is 5.

Hope that helps.