Kylie's class is selling boxes of chocolate as a fundraiser. In order to motivate students to sell, her teacher has divided the class into two teams: the blue team and the red team. Since the teams do not have the same number of people, the team with the highest mean sales will win the competition. The dot plots below show the current sales of each team. Calculate the mean and mean absolute deviation (rounded to the nearest tenth) for each team and then complete the following statements.

Currently, the
red/blue
team has a higher mean.
The difference between the means is
higher/lower
than the mean absolute deviation of either team.
There is much/no/some
overlap between sales in the teams.

3

step-by-step explanation:

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt