Question
Two basketball teams recorded the number of points scored per game over five games:
Team A: 50, 55, 60, 58, 62
Team B: 48, 52, 54, 58, 64
Which team has the higher mean score?
Team A: 50, 55, 60, 58, 62
Team B: 48, 52, 54, 58, 64
Which team has the higher mean score?
Answers
GPT-4o mini
To find the mean score for each team, we need to sum the points scored in each game and then divide by the number of games (which is 5 in this case).
**Calculating Mean for Team A:**
Points scored: 50, 55, 60, 58, 62
Sum of points = 50 + 55 + 60 + 58 + 62 = 285
Mean score for Team A = Total points / Number of games
Mean score for Team A = 285 / 5 = 57
**Calculating Mean for Team B:**
Points scored: 48, 52, 54, 58, 64
Sum of points = 48 + 52 + 54 + 58 + 64 = 276
Mean score for Team B = Total points / Number of games
Mean score for Team B = 276 / 5 = 55.2
**Comparison of Mean Scores:**
- Team A Mean Score: 57
- Team B Mean Score: 55.2
Thus, **Team A has the higher mean score.**
**Calculating Mean for Team A:**
Points scored: 50, 55, 60, 58, 62
Sum of points = 50 + 55 + 60 + 58 + 62 = 285
Mean score for Team A = Total points / Number of games
Mean score for Team A = 285 / 5 = 57
**Calculating Mean for Team B:**
Points scored: 48, 52, 54, 58, 64
Sum of points = 48 + 52 + 54 + 58 + 64 = 276
Mean score for Team B = Total points / Number of games
Mean score for Team B = 276 / 5 = 55.2
**Comparison of Mean Scores:**
- Team A Mean Score: 57
- Team B Mean Score: 55.2
Thus, **Team A has the higher mean score.**