Question

The dot plot shows the ages of students, in years, on a basketball team.

​Each dot represents
1
1 student.

​

​

​

​Find the mean (rounded to the nearest tenth) and mode of the data.

Mean=​
and Mode=

Answer 1

To calculate the mean and mode, we would ideally need to see the dot plot data, which represents the ages of students. Since I don't have visibility on the actual dot plot, I'll provide you with a step-by-step guide on how to find both the mean and mode using your data.

### Steps to Calculate the Mean:

1. **List all the ages**: Count how many dots (students) are at each age and create a list of all the ages.

2. **Sum the ages**: Add all the ages together.

3. **Count the total number of students**: This is the total number of dots.

4. **Calculate the mean**:
\[
\text{Mean} = \frac{\text{Sum of Ages}}{\text{Total Number of Students}}
\]

5. **Round to the nearest tenth**.

### Steps to Find the Mode:

1. **Identify the age with the most dots**: Look at your dot plot and determine which age has the most dots.

2. **Declare it the mode**: The mode is the age that appears most frequently.

### Example Calculation:
Assume you had the following ages represented by dots:
- 12 (4 dots)
- 13 (3 dots)
- 14 (5 dots)
- 15 (2 dots)

**Mean:**
- List of Ages: \(12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 14, 14, 15, 15\)
- Sum of Ages: \(12 \times 4 + 13 \times 3 + 14 \times 5 + 15 \times 2 = 48 + 39 + 70 + 30 = 187\)
- Total Students: \(14\)
- Mean:
\[
\text{Mean} = \frac{187}{14} \approx 13.4
\]

**Mode:**
- The mode is \(14\) (since it has the most dots).

Please apply these steps using your actual data from the dot plot to find the mean and mode. If you provide the data, I can assist you further!