Question

Each of students reported the number of movies they saw in the past year. This is what they reported.
19, 4, 8, 10, 4, 5
Find the median and mean number of movies that the students saw.
If necessary, round your answers to the nearest tenth.

Answer 1

To find the median and the mean of the reported number of movies, let's start by organizing the data.

The reported numbers of movies are:
19, 4, 8, 10, 4, 5

**Step 1: Find the median.**

First, we need to arrange the numbers in ascending order:
4, 4, 5, 8, 10, 19

Since there are 6 numbers (an even number), the median will be the average of the two middle numbers.

The two middle numbers are 5 and 8.

\[
\text{Median} = \frac{5 + 8}{2} = \frac{13}{2} = 6.5
\]

**Step 2: Find the mean.**

To calculate the mean, we sum all the reported numbers and divide by the count of numbers:

\[
\text{Sum} = 19 + 4 + 8 + 10 + 4 + 5 = 50
\]
\[
\text{Count} = 6
\]
\[
\text{Mean} = \frac{\text{Sum}}{\text{Count}} = \frac{50}{6} \approx 8.3333
\]

Rounding to the nearest tenth, the mean is:
\[
\text{Mean} \approx 8.3
\]

**Final Results:**
- Median: 6.5
- Mean: 8.3