In a music contest, a panel of 100 audience members ranked each of 4

In a music contest, a panel of 100 audience members ranked each of 4 performers with integer ranks—from 1 to 4. For each performer, the table indicates the number of audience members who assigned each rank to the given performer. For example, exactly 49 audience members assigned rank 4 to Performer A. Two methods—the Mode Method and the Median Method—are used to assign final ranks to the performers based on these audience rankings.

Mode Method: Assign to each performer a final rank equal to the audience rank the performer received most often.

Median Method: Compute the median audience ranking for each performer. The ordering of the final rankings will be the same as the ordering of these medians.
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	Rank
Performer	1	2	3	4
A	51	0	0	49
B	23	5	72	0
C	5	95	0	0
D	21	0	28	51

(Sort ↕ the table by clicking on the headers)­
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For each of the following final ranks, select Same if the two final ranking methods assigned the same performer the given rank. Otherwise, select Not same.

Rank 1

Using the mode method for Rank 1, we see that the only performer who received Rank 1 most often was Performer A, who received Rank 1 from 51 audience members.

Also, the median ranking for Performer A was Rank 1 since over half of Performer A's rankings were Rank 1, so the middle ranking for Performer A was Rank 1. Also, no other performer had a median ranking of Rank 1.

So, Performer A was assigned Rank 1 both ways.

Select Same.

Rank 2

Using the mode method for Rank 2, we see that the only performer who received Rank 2 most often was Performer C, who received Rank 2 from 95 audience members.

Also, the median ranking for Performer C was Rank 2 since over half of Performer C's rankings were Rank 2, so the middle ranking for Performer C was Rank 2. Also, no other performer had a median ranking of Rank 2.

So, Performer C was assigned Rank 2 both ways.

Select Same.

Rank 3

Using the mode method for Rank 3, we see that the only performer who received Rank 3 most often was Performer B, who received Rank 3 from 7 2 audience members.

Also, the median ranking for Performer B was Rank 3 since over half of Performer B's rankings were Rank 3, so the middle ranking for Performer B was Rank 3. Also, no other performer had a median ranking of Rank 3.

So, Performer B was assigned Rank 3 both ways.

Select Same.

Correct answer: Same, Same, Same­