Question

The weights of each member of the two teams were measured. In both teams, 15 athletes were weighed. Those weights are given below.

Which team has a larger average weight? Is the difference in the average weight of the two teams significant? Be quantitative in explaining why or why not.

Weight of Team 1 Players in pounds	Weight of Team 2 Players in pounds
136.38	156.38
137.91	190.56
126.06	152.38
139.68	139.72
112.03	171.9
154.07	137.9
140.19	149.68
164.61	132.47
154.7	154.43
126.7	165.37
132.82	155.59
131.01	187.73
143.66	120.78
156.35	173.43
156.86	152.99

Answer 1

Average = Sum of weights divided by number of persosn.

Add up all the weights of team 1 and divide it by 15 . Thus we get the average weight for team 1.

Similarly for team 2 we can find the average weight.

Average weight of team 1 = 140.86 pounds

Average weight of team 2 = 156.08 pounds

Average weight of team 2 is higher. difference = 15.22 pounds

It is significant. Beacause each person of team 2 weighs 15.22 pounds heavier than each person in team 1 . It is more than 10 percent the average weight of team 2. Also if one person of team 2 weighs 15.22 pounds heavier than one person of team 1 then the total difference in weight would also be very high (15.22 x 15 = 228.3 pounds)