A group of 8 students was asked, "How many hours did you watch television last week?" Here are their responses. \[ 12,5,14,7,6,4,20,20 \] Find the median and mean number of hours for these students. If necessary, round your answers to the nearest tenth. (a) Median: \( \square \) hours (b) Mean: \( \square \) hours

To find the median and mean, we'll first list the data in ascending order and then calculate each value. (a) Median: 1. Arrange the data in ascending order: \( 4, 5, 6, 7, 12, 14, 20, 20 \). 2. Since there are 8 students (an even number), the median is the average of the two middle numbers, which are the 4th and 5th numbers in the ordered list. 3. The 4th number is 7, and the 5th number is 12. 4. Calculate the median: \( \frac{7 + 12}{2} = \frac{19}{2} = 9.5 \) hours. (b) Mean: 1. Add up all the hours: \( 12 + 5 + 14 + 7 + 6 + 4 + 20 + 20 = 88 \) hours. 2. Divide the total by the number of students: \( \frac{88}{8} = 11 \) hours. So, the median is 9.5 hours, and the mean is 11 hours. (a) Median: \( 9.5 \) hours (b) Mean: \( 11 \) hours