The dot plot below represents the number of goals scored by the girls' soccer team in every game so far this season.

Question

GOALS SCORED
GOALS SCORED
Goals
What was the median number of goals scored?
Answer
Attempt 2 out of 2
the number plot goes from 0-5, 0 has two dots, 1 has 4, 2 has 0, 3 has 2, 4 has 1, and 5 has 2.

Answer 1

To find the median number of goals scored from the dot plot, we first need to organize the data based on the dots provided:

• 0 goals: 2 (represented by two dots)
• 1 goal: 4 (represented by four dots)
• 2 goals: 0 (no dots)
• 3 goals: 2 (represented by two dots)
• 4 goals: 1 (represented by one dot)
• 5 goals: 2 (represented by two dots)

Now we can list out all the scores corresponding to the dots from the plot:

• 0, 0 (two scores of 0)
• 1, 1, 1, 1 (four scores of 1)
• 3, 3 (two scores of 3)
• 4 (one score of 4)
• 5, 5 (two scores of 5)

Now, let's write them in order:

0, 0, 1, 1, 1, 1, 3, 3, 4, 5, 5

There are a total of 11 scores. The median is the middle value in a sorted list. For a list with an odd number of observations, the median is the value at the position \((n+1)/2\) where \(n\) is the number of values.

Calculating the position: \[ \text{Position} = (11 + 1) / 2 = 12 / 2 = 6 \]

The 6th value in the ordered list is 1.

Thus, the median number of goals scored is 1.