Answer:
The mean of tree heights at Yard Works is 8 feet and at Grow Station is 9 feet.The mean absolute deviation of the tree heights at both yards is 2.
Step-by-step explanation:
1). Height of the trees at Yard Works are = 7,9,7,12,5 feet
So mean height of the trees = (7+9+7+12+5)÷5
= 40÷5 =8 feet
Standard deviation of the trees at Yard works = ∑(║(height of the tree-mean height of the tree))║/(number of trees)
(height of the tree-mean height of the tree)= ║(7-8)║+║(9-8)║+║(7-8)║+║(12-8)║+║(5-8)║ = (1)+1+(1)+4+(3)= 10
Therefore standard deviation = (10)/(5) =2
2). In the same way mean height of the trees at Grow Station=(9+11+6+12+7)/5= 45/5 = 9
Now we will calculate the mean deviation of the tress at Grow Station
= ∑║(height of the tree-mean height of the tree)║/(number of trees)
= ║(9-9)║+║(11-9)║+║(6-9)║+║(12-9)║+║(7-9)║/(5)
= (0+2+3+3+2)/5
= 10/5 =2
Therefore The mean of tree heights at Yard Works is 8 feet and at Grow Station is 9 feet.The mean absolute deviation of the tree heights at both yards is 2.
