Calculate Mean Goals: Manchester United's 5-Match Scoring Analysis

To solve this problem, we'll follow these steps:

• Step 1: Calculate the total number of goals scored.
• Step 2: Count the total number of matches played.
• Step 3: Use the formula for average to find the average number of goals scored per match.

Now, let's work through each step:

Step 1: Calculate the total number of goals scored.
The goals scored in each match are: $4$, $0$, $5$, $6$, and $2$.
The total number of goals scored is $4 + 0 + 5 + 6 + 2 = 17$.

Step 2: Count the total number of matches played.
There are 5 matches in total.

Step 3: Use the formula for average.
The average number of goals per match is given by:

$\text{Average} = \frac{\text{Total number of goals}}{\text{Number of matches}} = \frac{17}{5}$

Calculating the division:

$\frac{17}{5} = 3.4 = 3\frac{2}{5}$

Therefore, the average number of goals scored per match is $3\frac{2}{5}$.