The data below represents the number of T-shirts sold per week by a student who started his own online T-shirt business. Find the mean number of T-shirts sold per week. (Round your answer to the nearest tenth if necessary.)

T-Shirts Sold per Week	Frequency
5	6
10	2
15	5
20	1

Mean = 


To calculate the mean number of T-shirts sold per week, we need to find the weighted average based on the data provided.

The formula for the mean in a frequency distribution is:

\[
\text{Mean} = \frac{\sum (x \cdot f)}{\sum f}
\]

where:
- \( x \) is the number of T-shirts sold,
- \( f \) is the frequency of each \( x \).

Let's apply this:

### Step 1: Multiply each number of T-shirts by its frequency
- \( 5 \cdot 6 = 30 \)
- \( 10 \cdot 2 = 20 \)
- \( 15 \cdot 5 = 75 \)
- \( 20 \cdot 1 = 20 \)

### Step 2: Sum these products
\[
30 + 20 + 75 + 20 = 145
\]

### Step 3: Sum the frequencies
\[
6 + 2 + 5 + 1 = 14
\]

### Step 4: Divide the sum of the products by the sum of the frequencies
\[
\text{Mean} = \frac{145}{14} \approx 10.4
\]

### Answer:
The mean number of T-shirts sold per week is approximately **10.4**.

Would you like further details or have any questions?

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Here are some related questions for further practice:
1. What is the median number of T-shirts sold per week?
2. How would the mean change if one more week had 15 T-shirts sold?
3. What is the mode of the T-shirt sales per week?
4. How can we calculate the variance in T-shirt sales per week?
5. How would you find the standard deviation of T-shirt sales?

**Tip:** In a frequency distribution, remember that the mean is found by summing all occurrences and dividing by the total count.

The data below represents the number of T-shirts sold per week by a student who started his own online T-shirt business. Find the mean number of T-shirts sold per week. (Round your answer to the nearest tenth if necessary.)

T-Shirts Sold per Week Frequency
5 6
10 2
15 5
20 1

Mean = 

Learn how to find the mean number of T-shirts sold per week using frequency distribution data. This step-by-step solution covers the calculation process using the formula Σ(x * f) / Σf. Perfect for students in Grades 6-8.

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