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.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 days ago

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.