Question

the graph below represents the number of goals scored by the girls soccer team in every game so far this season. goals scored what was the mean number of goals scored?

Explanation:

Step1: Calculate total goals

For each goal value \( x \) and its frequency \( f \), multiply \( x \) and \( f \), then sum.

• \( 0 \times 8 = 0 \)
• \( 1 \times 2 = 2 \)
• \( 2 \times 4 = 8 \)
• \( 3 \times 5 = 15 \)
• \( 4 \times 2 = 8 \)
• \( 5 \times 3 = 15 \)

Total goals: \( 0 + 2 + 8 + 15 + 8 + 15 = 48 \)

Step2: Calculate total games

Sum all frequencies: \( 8 + 2 + 4 + 5 + 2 + 3 = 24 \)

Step3: Compute mean

Mean = \( \frac{\text{Total Goals}}{\text{Total Games}} = \frac{48}{24} = 2 \)

Answer:

\( 2 \)