a) The average arithmetic mean is calculated by adding all of the values and then dividing the sum by the total number of values.
[tex]\frac{198+199(3)+200(2)+201(5)+202(2)}{13} =200.3[/tex]
Which is 200.3.
b) Assume that the new average mean is 201, then
[tex]201 = \frac{198 + 199(3) + 200(2) + 201(5) + 202(2)+x}{14}[/tex]
Solve for x.
[tex]2814= 2604x[/tex]
Divide by 2604 to solve for x.
[tex]\frac{2814}{1604} = x = 1.75[/tex]
So the height of the new player is 175 cm.
