using the fact that the black triangle represents the mean and/or the understanding of what a deviation is, explain why this balancing beam would stay balanced went to Blue circles are removed. Be thorough with your explanation and use Multiple sources of evidence

 the left side is balanced with the right side

Step-by-step explanation:

Left side:

1 barrel (located at 2) is 1 unit from the fulcrum (triangle)         →    1(1) = 1

2 barrels (located at 1) are 2 units from the fulcrum (triangle)  →  2(2) = 4

1 barrel (located at 0) is 3 units from the fulcrum (triangle)       →  1(3) = 3    

                                                                                                       Total = 8

Right side:

1 barrel (located at 6) is 3 units from the fulcrum (triangle)       →    1(3) = 3

1 barrel (located at 8) is 5 units from the fulcrum (triangle)       →  1(5) = 5    

                                                                                                       Total = 8

The distribution of the weight on the left side equals the distribution of weight on the right side so the beam is balanced.

15.5

step-by-step explanation:

5

∑

n = 1

substitute n = 1, 2, 3, 4, 5 and sum the terms

= + + + 2² + 2³

= 0.5 + 1 + 2 + 4 + 8

= 15.5