Question

Each of 8 students reported the number of movies they saw in the past year. Here is what they reported.
13,20,10,11,17,6,11,19
Find the mean number of movies that the students saw.
If necessary, round your answer to the nearest tenth.

Answer 1

To find the mean number of movies that the students saw, you need to follow these steps:

1. **Sum the number of movies**:
- Add all the reported numbers:
\( 13 + 20 + 10 + 11 + 17 + 6 + 11 + 19 \)

\[
= 13 + 20 = 33 \\
= 33 + 10 = 43 \\
= 43 + 11 = 54 \\
= 54 + 17 = 71 \\
= 71 + 6 = 77 \\
= 77 + 11 = 88 \\
= 88 + 19 = 107
\]

So, the total number of movies is **107**.

2. **Count the number of students**:
- There are **8 students**.

3. **Calculate the mean**:
- Divide the total number of movies by the number of students:
\[
\text{Mean} = \frac{\text{Total movies}}{\text{Number of students}} = \frac{107}{8}
\]

Performing the division:
\[
107 \div 8 = 13.375
\]

4. **Round to the nearest tenth**:
- Rounding \( 13.375 \) to the nearest tenth gives you **13.4**.

Therefore, the mean number of movies that the students saw is **13.4**.