Question

A group of 6 students was asked, "How many hours did you watch television last week?" Here are their responses.
6, 11, 13, 16, 16, 18

whats the mean and median

Answer 1

To find the mean and median of the responses from the six students, let's first list the hours they watched television:

Responses: 6, 11, 13, 16, 16, 18

**Mean:**
To calculate the mean, add all the responses together and then divide by the number of responses.

\[
\text{Mean} = \frac{\text{Sum of all responses}}{\text{Number of responses}} = \frac{6 + 11 + 13 + 16 + 16 + 18}{6}
\]

Calculating the sum:

\[
6 + 11 = 17
\]
\[
17 + 13 = 30
\]
\[
30 + 16 = 46
\]
\[
46 + 16 = 62
\]
\[
62 + 18 = 80
\]

So, the total sum of responses is 80.

Now, divide by the number of students (6):

\[
\text{Mean} = \frac{80}{6} \approx 13.33
\]

**Median:**
To find the median, we need to sort the responses and find the middle value. The responses are already sorted:

6, 11, 13, 16, 16, 18

Since there is an even number of responses (6), the median will be the average of the two middle numbers. The middle numbers are the 3rd and 4th values:

3rd value = 13
4th value = 16

Now, calculate the median:

\[
\text{Median} = \frac{13 + 16}{2} = \frac{29}{2} = 14.5
\]

**Summary:**
- Mean: \( \approx 13.33 \)
- Median: \( 14.5 \)