Question

Which team looks stronger from the last six game scores?

Original question: 4. The math department wants to predict which team will win the UGA vs. USC game this year. They decide to take the points made by each team at the last 6 games of the 2013 season. The data is given below.

UGA — Mean: _____ Standard Dev: _____

USC — Mean: _____ Standard Dev: _____

of points gained from the last 6 games of 2013

UGA 41 59 38 45 23 27 USC 31 70 19 34 27 23

According to the data, who do you think has a better chance of winning the UGA vs. USC game this year? WHY?

Expert Verified Solution

thumb_up100%(1 rated)

Key concept: This kind of comparison is less about picking a winner with certainty and more about reading the numbers responsibly. Mean points tell you offensive strength; spread tells you consistency. Both matter.

Step by step

Let's compute a quick summary for each team.

UGA scores

41,59,38,45,23,2741, 59, 38, 45, 23, 27

Mean:

41+59+38+45+23+276=233638.8\frac{41+59+38+45+23+27}{6}=\frac{233}{6}\approx 38.8

USC scores

31,70,19,34,27,2331, 70, 19, 34, 27, 23

Mean:

31+70+19+34+27+236=2046=34\frac{31+70+19+34+27+23}{6}=\frac{204}{6}=34

So UGA scored more points on average in the last 6 games.

If we also look at consistency, UGA's scores are a little less scattered than USC's, especially because USC has a very high 70 and a very low 19. That suggests USC is more volatile.

Best guess

Based on the data, UGA looks like the better pick to win, because:

  • higher average points
  • slightly steadier recent performance

That said, this is only a rough prediction. A football game depends on matchups, injuries, home field, and defense too.

Pitfall alert

Don’t treat the mean as a guaranteed prediction. A team with a higher average can still lose a single game. Also, if you ignore spread completely, you can miss how streaky a team has been.

Try different conditions

If USC had the same average but a much smaller spread, that could make the matchup closer. In many real predictions, a team with slightly fewer points but more consistency can be attractive, depending on the opponent and game conditions.

Further reading

mean, standard deviation, spread

FAQ

Which team has the higher average score from the last six games?

UGA. Its average is about 38.8 points, while USC's average is 34 points.

Why does the score spread matter?

Spread shows consistency. A team with similar averages but less variation is often more predictable than a team with very high and very low scores mixed together.

chat