The following number of goals were scored by a team in a series of 10 matches: 2, 3, 4, 5, 0, 1, 3, 3, 4, 3
Find the mean, median and mode of these scores.

Answer

To find the mean, median, and mode of the goals scored by a team in a series of 10 matches, we will follow these steps:

### Step 1: Organize the Data
First, we need to arrange the data in ascending order. The given scores are:
2, 3, 4, 5, 0, 1, 3, 3, 4, 3

Arranging them in ascending order:
0, 1, 2, 3, 3, 3, 3, 4, 4, 5

### Step 2: Calculate the Mean
The mean is calculated by taking the sum of all observations and dividing it by the total number of observations.

**Sum of observations:**
0 + 1 + 2 + 3 + 3 + 3 + 3 + 4 + 4 + 5 = 28

**Total number of observations:**
10

**Mean calculation:**
Mean = Sum of observations / Total number of observations
Mean = 28 / 10 = 2.8

### Step 3: Calculate the Median
To find the median, we need to determine the middle value of the ordered data. Since we have an even number of observations (10), the median will be the average of the 5th and 6th values.

**5th and 6th observations:**
From the ordered data: 0, 1, 2, 3, 3, 3, 3, 4, 4, 5
5th observation = 3
6th observation = 3

**Median calculation:**
Median = (5th observation + 6th observation) / 2
Median = (3 + 3) / 2 = 6 / 2 = 3

### Step 4: Calculate the Mode
The mode is the value that appears most frequently in the data set.

From the ordered data:
0 appears 1 time,
1 appears 1 time,
2 appears 1 time,
3 appears 4 times,
4 appears 2 times,
5 appears 1 time.

The mode is the number that appears most frequently, which is 3 (it appears 4 times).

### Final Results
- Mean = 2.8
- Median = 3
- Mode = 3