 Teacher resources and professional development across the curriculum

Teacher professional development and classroom resources across the curriculum            Solutions for Session 5, Part D

See solutions for Problems: D1 | D2 | D3 | D4 | D5    Problem D1

a.

Here is the corresponding line plot, with the deviation for each dot included under the line: b.

Here is the completed table:  Number of Coins in Stack Deviation from the Mean  2 -3 3 -2 3 -2 4 -1 5 0 6 +1 6 +1 8 +3 8 +3 + _______ _______ 45 0    Problem D2 Here is the line plot:    Problem D3 Here is the line plot:    Problem D4 The total of the deficits is (-4) + (-3) + (-3) + (-1) + (-1) = -12, so the remaining 4 stacks will need a total excess of +12 to maintain the balance required by the mean. One possible answer is for the remaining four values to be (+1), (+3), (+4), (+4) although many other answers are also possible, which corresponds to the following line plot:    Problem D5 The line plots would all move one unit to the right. This would not change the degree of fairness, since the degree of fairness relies on the deviations from the mean. Since the mean will move right along with the values in the line plot, the deviations will not change, and likewise the degree of fairness will not change.     