Question

Each of 6 students reported the number of movies they saw in the past year. This is what they reported:20, 16, 9, 9, 11, 20Find the mean and median number of movies that the students saw.If necessary, round your answers to the nearest tenth.

Answer 1

The number of movies 6 students reported they saw in the past year is;

`20,16,9,9,11,20`

The mean number of movies that the students saw is;

`\begin{gathered} \bar{x}=(\Sigma x)/(n) \\ n=6 \\ \bar{x}=(20+16+9+9+11+20)/(6) \\ \bar{x}=(85)/(6) \\ \bar{x}=14.2 \end{gathered}`

The mean round to the nearest tenth is 14.2

Also, the median is the middle number of the data set after arranging either in ascending or descending order.

`9,9,11,16,20,20`

The median number of movies the students saw is the average or mean of the third and fourth.

`\begin{gathered} \text{Median}=(11+16)/(2) \\ \text{Median}=(27)/(2) \\ \text{Median}=13.5 \end{gathered}`

The median round to the nearest tenth is 13.5