Each of 8 students reported the number of movies they saw in the past year. This is what they reported. \[ 8,10,11,8,14,10,9,6 \] Find the median and mean number of movies that the students saw. If necessary, round your answers to the nearest tenth. (a) Median: \( \quad \) movies (b) Mean: \( \square \) movies
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To find the median, we must first arrange the data in ascending order: \[ 6, 8, 8, 9, 10, 10, 11, 14 \] Since there are 8 data points (an even number), the median will be the average of the 4th and 5th values. The 4th and 5th values are 9 and 10, respectively. \[ \text{Median} = \frac{9 + 10}{2} = \frac{19}{2} = 9.5 \] For the mean, we sum all the values and divide by the number of values: \[ \text{Sum} = 6 + 8 + 8 + 9 + 10 + 10 + 11 + 14 = 76 \] \[ \text{Mean} = \frac{76}{8} = 9.5 \] Thus, the answers are: (a) Median: \( 9.5 \) movies (b) Mean: \( 9.5 \) movies
