Here is a line plot corresponding to an allocation of 45 coins in 9 stacks:
From this line plot, we can see that there are 3 stacks containing exactly 5 coins each, and 1 stack containing 6 coins. The maximum number of coins in a stack is 8, and the minimum is 2.
Rearrange the nine dots to form a line plot with each of these requirements:
a. | Form a different line plot with a mean equal to 5. |
b. | Form a line plot with a mean equal to 5 that has exactly 2 stacks of 5 coins. |
c. | Form a line plot with a mean equal to 5 but a median not equal to 5. |
d. | Form a line plot with a mean equal to 5 that has no 5-coin stacks. |
e. | Form a line plot with a mean equal to 5 that has two 5-coin stacks, 4 stacks with more than 5 coins, and 3 stacks with fewer than 5 coins. |
f. | Form a line plot with a mean equal to 5 that has two 5-coin stacks, 5 stacks with more than 5 coins, and 2 stacks with fewer than 5 coins. |
g. | Form a line plot with a mean equal to 5 that has two 5-coin stacks, two 10-coin stacks, and 5 stacks with fewer than 5 coins. |
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