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These are the scores for two randomly selected lacrosse teams. Find the range of the number of goals scored by each team. Based on the range, which team has a more consistent number of goals scored?

This table shows the scores of two lacrosse teams across six games.
Lacrosse Team 1: 6 0 4 17 3 12
Lacrosse Team 2: 23 14 22 14 17 22
(2 points)
The range of the number of goals scored by Lacrosse Team 1 is [ ? ] The range of the number of goals scored by Lacrosse Team 2 is [ ? ]. Based on the range, Lacrosse Team [ ? ] has a more consistent number of goals scored.

1 answer

To find the range of the number of goals scored by each team, we will use the formula for range, which is:

\[ \text{Range} = \text{Maximum Score} - \text{Minimum Score} \]

Lacrosse Team 1: Scores: 6, 0, 4, 17, 3, 12

  • Maximum score = 17
  • Minimum score = 0

Calculating the range for Team 1: \[ \text{Range}_1 = 17 - 0 = 17 \]

Lacrosse Team 2: Scores: 23, 14, 22, 14, 17, 22

  • Maximum score = 23
  • Minimum score = 14

Calculating the range for Team 2: \[ \text{Range}_2 = 23 - 14 = 9 \]

Now we can summarize the results:

  • The range of the number of goals scored by Lacrosse Team 1 is 17.
  • The range of the number of goals scored by Lacrosse Team 2 is 9.

Based on the range:

  • Lacrosse Team 2 has a smaller range (9), indicating a more consistent number of goals scored.

Thus, the final statement is: Lacrosse Team 2 has a more consistent number of goals scored.