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.

Respuesta :

Solution:

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

[tex]20,16,9,9,11,20[/tex]

The mean number of movies that the students saw is;

[tex]\begin{gathered} \bar{x}=\frac{\Sigma x}{n} \\ n=6 \\ \bar{x}=\frac{20+16+9+9+11+20}{6} \\ \bar{x}=\frac{85}{6} \\ \bar{x}=14.2 \end{gathered}[/tex]

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.

[tex]9,9,11,16,20,20[/tex]

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

[tex]\begin{gathered} \text{Median}=\frac{11+16}{2} \\ \text{Median}=\frac{27}{2} \\ \text{Median}=13.5 \end{gathered}[/tex]

The median round to the nearest tenth is 13.5