Answer:
accuracy
Explanation:
You are trying to measure the mass of several different objects when you realize that there is a large wad of gum stuck to the underside of the balance pan. Removing the gum will improve the <u>accuracy</u> of your measurements.
 
        
             
        
        
        
The main formula to be used here is 
                       Force = (mass) x (acceleration).
We'll get to work in just a second.  But first, I must confess to you that I see 
two things happening here, and I only know how to handle one of them.  So
my answer will be incomplete, but I believe it will be more reliable than the 
first answer that was previously offered here.
On the <u>right</u> side ... where the 2 kg and the 3 kg are hanging over the same 
pulley, those weights are not balanced, so the 3 kg will pull the 2kg down, with 
some acceleration.  I don't know what to do with that, because . . . 
At the <em>same time</em>, both of those will be pulled <u>up</u> by the 10 kg on the other side 
of the upper pulley.
I think I can handle the 10 kg, and work out the acceleration that IT has.
Let's look at only the forces on the 10 kg:
-- The force of gravity is pulling it down, with the whatever the weight of 10 kg is.
-- At the same time, the rope is pulling it UP, with whatever the weight of 5 kg is ...
that's the weight of the two smaller blocks on the other end of the rope.  
So, the net force on the 10 kg is the weight of (10 - 5) = 5 kg, downward.
The weight of 5 kg is (mass) x (gravity) = (5 x 9.8) = 49 newtons.
The acceleration of 10 kg, with 49 newtons of force on it, is 
     Acceleration = (force) / (mass) = 49/10 = <em>4.9 meters per second²</em>