Question

(a) the mean for player a is 7 points, and the mean for player b is 11 points. find the distance between the means of player a and player b. distance between the means: 4 point(s) (b) find the mean absolute deviation (mad) for each player. mad for player a: 2 point(s) mad for player b: 2 point(s) (c) fill in the blank below to express the distance between the means as a multiple of the mad of either data set. distance between the means = \\(\square\\) times the mad (d) look at the degree of overlap between the data sets. also look at your answer from part (c). then select the best choice below. \\(\circ\\) there is a complete overlap and the distance between the means is 0. \\(\circ\\) there is a complete overlap and the distance between the means is greater than 5 times the mad. \\(\circ\\) there is some overlap and the distance between the means is...

Explanation:

Step1: Solve part (c)

Divide distance by MAD: $\frac{4}{2}=2$

Step2: Analyze part (d)

Distance = 2×MAD; partial overlap occurs when mean distance is 1-3×MAD, so the correct choice is the one stating some overlap with distance equal to 2 times the MAD.

Answer:

(c) 2
(d) (The full option text for the correct choice is cut off, but based on values: There is some overlap and the distance between the means is 2 times the MAD)