A group 2

A group of students was asked, "How many hours did you watch television last week? "Here are their responses.
13, 14, 4, 19, 19, 11
Find the median and mean number of hours for these students.
If necessary, round your answers to the nearest tenth.
(a) Median:

(b) Mean:

Final Answer:

m₁ =  13.5
m₂ =  10.2

Step-by-step explanation:

$$\begin{gathered} 13,14,4,19,19,11 \\ \{4,11,13,14,19,19\} \\ n=6 \\ i=n/2=6/2=3 \\ {a}_1=4 \\ {a}_2=11 \\ {a}_3=13 \\ {a}_4=14 \\ {a}_5=19 \\ {a}_6=19 \\ {m}_1=\frac{a_3+a_4}{2}=\frac{13+14}{2}=13.5 \end{gathered}$$

$$\begin{gathered} s=a_1+a_2+a_3+a_4+a_5=4+11+13+14+19=61 \\ {m}_2=\frac{s}{n}=\frac{61}{6}=10.2 \end{gathered}$$

Try another example