Question

the dot plot below represents the number of goals scored by the boys soccer team in every game so far this season. goals scored (dot plot with 0: three dots, 1: two dots, 2: one dot, 3: one dot, 4: two dots, 5: two dots) what was the median number of goals scored?

Explanation:

Step1: Count total number of games

Count the number of dots: For 0 goals: 3 dots, 1 goal: 2 dots, 2 goals: 1 dot, 3 goals: 1 dot, 4 goals: 2 dots, 5 goals: 2 dots. Total = \( 3 + 2 + 1 + 1 + 2 + 2 = 11 \) games.

Step2: Find the median position

Median is the middle value. For \( n = 11 \) (odd), median is at position \( \frac{n + 1}{2} = \frac{11 + 1}{2} = 6 \)th value when ordered.

Step3: Order the data and find the 6th value

Order the goals by their counts: 0 (3 times), 1 (2 times), 2 (1 time), 3 (1 time), 4 (2 times), 5 (2 times). Cumulative counts: 0: 3, 1: \( 3 + 2 = 5 \), 2: \( 5 + 1 = 6 \). So the 6th value is 2.

Answer:

2