a) Identify the shape of each dot plot. (2 points: 1 point for each dot plot) Symmetrical bell shaped b) Which dot plot has a larger center? What does this mean in terms of the otters? (2 points: 1 point for each question) c) Identify any outliers. What do you think the outliers represent? (2 points: 1 point for identifying, 1 for explanation) d) Which dot plot has a larger spread?(1 point) e) How do the outliers affect the spread of the dot plot? (1 point)

If p(x) is the total value of the production when there are x workers in a plant, then the average productivity of the workforce at the plant is a(x) = p(x) x . (a) find a'(x). a'(x) = xp'(x) − p(x) x a'(x) = xp'(x) − p(x) x2 a'(x) = p'(x) − p(x) x a'(x) = xp'(x) − p'(x) x2 a'(x) = p'(x) − xp(x) x2 why does the company want to hire more workers if a'(x) > 0? a'(x) > 0 ⇒ a(x) is ; that is, the average productivity as the size of the workforce increases. (b) if p'(x) is greater than the average productivity, which of the following must be true? p'(x) − xp(x) > 0 p'(x) − xp(x) < 0 xp'(x) − p'(x) > 0 xp'(x) − p(x) < 0 xp'(x) − p(x) > 0