Solved on Feb 02, 2024

Find the mean of the movie counts reported by 7 students: 13+12+7+13+13+9+167\frac{13 + 12 + 7 + 13 + 13 + 9 + 16}{7}. Round the result to the nearest tenth.

STEP 1

Assumptions
1. The reported number of movies seen by the 7 students in the past year are 13, 12, 7, 13, 13, 9, and 16.
2. The mean number of movies is the sum of the reported numbers divided by the total number of students.
3. If necessary, the mean should be rounded to the nearest tenth.

STEP 2

To find the mean number of movies seen by the students, we need to sum up all the reported numbers.
Mean=SumofreportednumbersTotalnumberofstudentsMean = \frac{Sum\, of\, reported\, numbers}{Total\, number\, of\, students}

STEP 3

First, calculate the sum of the reported numbers.
Sumofreportednumbers=13+12+7+13+13+9+16Sum\, of\, reported\, numbers = 13 + 12 + 7 + 13 + 13 + 9 + 16

STEP 4

Perform the addition to find the sum.
Sumofreportednumbers=83Sum\, of\, reported\, numbers = 83

STEP 5

Now, divide the sum by the total number of students to find the mean.
Mean=837Mean = \frac{83}{7}

STEP 6

Calculate the mean.
Mean=83711.8571Mean = \frac{83}{7} \approx 11.8571

STEP 7

Since we need to round the mean to the nearest tenth if necessary, we look at the hundredths place, which is 5. Since 5 or above, we round up.
Mean11.9Mean \approx 11.9
The mean number of movies that the students saw is approximately 11.9.

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