Question

question
examples
the dot plot below represents the
number of goals scored by the boys
soccer team in every game so far this
season.
goals scored

what was the mean number of
goals scored?

Explanation:

Step1: Count goals and their frequencies

• Goals = 0, Frequency = 2 (two dots at 0)
• Goals = 1, Frequency = 2 (two dots at 1)
• Goals = 3, Frequency = 3 (three dots at 3)
• Goals = 4, Frequency = 1 (one dot at 4)
• Goals = 5, Frequency = 2 (two dots at 5)
• Goals = 2, Frequency = 0 (no dots at 2)

Step2: Calculate total goals

Total goals = (0×2) + (1×2) + (2×0) + (3×3) + (4×1) + (5×2)
= 0 + 2 + 0 + 9 + 4 + 10
= 25

Step3: Calculate total games

Total games = 2 + 2 + 0 + 3 + 1 + 2 = 10

Step4: Calculate mean

Mean = $\frac{\text{Total goals}}{\text{Total games}}$ = $\frac{25}{10}$ = 2.5

Answer:

2.5