Question

from unit 1, lesson 2
the dot - plot represents the distribution of the number of goals scored by a soccer team in 10 games.

1. if possible, find the mean. if not possible, explain why not.

Explanation:

Step1: Identify data points

From the dot - plot: 0 goals has 3 dots, 1 goal has 4 dots, 2 goals has 2 dots.

Step2: Calculate the sum of data

Sum = \(0\times3 + 1\times4+2\times2\)
\[=0 + 4+4\]
\[=8\]

Step3: Calculate the number of data points

Number of data points \(n=3 + 4+2=9\)

Step4: Calculate the mean

Mean \(\bar{x}=\frac{\text{Sum}}{n}=\frac{8}{9}\approx0.89\)

Answer:

The mean number of goals scored is \(\frac{8}{9}\approx0.89\)