Darius and Barb are playing a video game in which the higher score wins the game. Their scores are shown below. Darius’s scores: 96, 54, 120, 87, 123 Barb’s scores: 92, 98, 96, 94, 110 Barb says that she is the winner. Darius says that it is a tie. Who is correct?

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chypermicdrop2 chypermicdrop2 · Answer 1 · 2020-04-20T22:05:16+02:00

Answerdarius is correct because his median I's greater than Barb but her mean is greater so it's equal

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bihariyadeep28 bihariyadeep28 · Answer 2 · 2022-01-14T13:52:06+01:00

The given scenario is of two friends Darius and Barb playing a video game in which the higher score wins the game.

We are assuming that given figures are of individual rounds.

Battle 1: Darius's score was higher than that of Barb.

[tex]96>92[/tex]

Darius is the winner of this round.

Battle 2: Barb's score is higher than that of Darius.

[tex]54 < 98[/tex]

Barb is the winner of this round.

Battle 3: Darius's score was higher than that of Barb.

[tex]120>96[/tex]

Darius is the winner of this round.

Battle 4: Barb's score is higher than that of Darius.

[tex]87<94[/tex]

Barb is the winner of this round.

Battle 5: Darius's score was higher than that of Barb.

[tex]123>110[/tex]

Darius is the winner of this round.

At the end of 5 rounds, Darius is a winner in 3 out of 5 rounds whereas Barb has won 2 rounds.

Therefore Darius is the winner after five rounds.

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