Question

Students at Hampton Middle School sold T-shirts as a school fundraiser. Sylvie asked 12 random seventh-grade students how many T-shirts they sold for the fundraiser. The number of T-shirts each student sold is listed below.

3, 4, 8, 5, 2, 5, 0, 5, 3, 4, 3, 7

What is the mean of the data set rounded to the nearest tenth?
4.0 shirts
4.1 shirts
4.5 shirts
4.9 shirts

Answer 1

To find the mean of the data set, we need to follow these steps:

1. **Calculate the sum of the T-shirts sold**:
\[
3 + 4 + 8 + 5 + 2 + 5 + 0 + 5 + 3 + 4 + 3 + 7
\]

Let's add them up:
\[
3 + 4 = 7
\]
\[
7 + 8 = 15
\]
\[
15 + 5 = 20
\]
\[
20 + 2 = 22
\]
\[
22 + 5 = 27
\]
\[
27 + 0 = 27
\]
\[
27 + 5 = 32
\]
\[
32 + 3 = 35
\]
\[
35 + 4 = 39
\]
\[
39 + 3 = 42
\]
\[
42 + 7 = 49
\]

So, the total number of T-shirts sold is **49**.

2. **Find the number of students**: There were **12** students surveyed.

3. **Calculate the mean**: The mean is the total number of T-shirts sold divided by the number of students:
\[
\text{Mean} = \frac{\text{Total T-shirts sold}}{\text{Number of students}} = \frac{49}{12}
\]

Dividing gives:
\[
\frac{49}{12} \approx 4.0833
\]

4. **Round to the nearest tenth**: The value \(4.0833\) rounded to the nearest tenth is **4.1**.

Thus, the mean number of T-shirts sold, rounded to the nearest tenth, is **4.1 shirts**.

The correct answer is: **4.1 shirts**.