Question

The scores for the top two dance teams at a competition are shown. The

winner of the competition was the team with the highest median score.
Which statement about the teams scores is not correct?
Team A's scores
58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100
Team B's scores
58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100
O A. Team B received the lowest score.
OB. The spread of scores for team B was greater than for team A.
O C. Team A won the competition.
O D. The typical score for team B was higher than for team A.
​

Answer 1

The incorrect statement about the dance teams' scores is that the spread of scores for Team B was greater than for Team A.

Both team's scores and spread of scores are identical, rendering options B incorrect.

Therefore, the correct answer is: option B). The spread of scores for team B was greater than for team A.

Step-by-step explanation:

When determining the winner of a dance competition based on median scores, it's important to clarify any misconceptions about the teams' performances.

In this case, both Team A and Team B have the same scores: 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100 .

Therefore, the correct statements are that both teams received the same lowest and highest scores, their spread of scores is identical, and their median scores would be the same, assuming no scoring errors.

The incorrect statement in the provided options would be that the spread of scores for team B was greater than for team A, or that Team A won the competition, or that the typical score for team B was higher than for team A, since all these aspects are exactly the same for both teams.

Option B, that the spread of scores for team B was greater than for team A, is incorrect because the spread, defined as the difference between the highest and lowest scores, is the same for both teams.