Answer :
Answer:
3.93
Step-by-step explanation:
Let x is the number of hours of television watched per week by six students.
X 8 10 5 14 3 6
Standard deviation for sample data is
[tex]Standard deviation=S=\sqrt\frac{{sum(x-xbar)^2} }{n-1}[/tex]
[tex]xbar=\frac{sum(x)}{n}[/tex]
[tex]xbar=\frac{8+10+5+14+3+6}{6}[/tex]
[tex]xbar=\frac{46}{6}[/tex]
xbar=7.67
[tex]sum(x-xbar)^2=(8-7.67)^2+(10-7.67)^2+(5-7.67)^2+(14-7.67)^2+(3-7.67)^2+(6-7.67)^2[/tex][tex]sum(x-xbar)^2=0.11+5.44+7.11+40.11+21.78+2.78=77.33[/tex]
[tex]Standard deviation=S=\sqrt\frac{{(77.33)} }{5}[/tex]
[tex]S=\sqrt15.466[/tex]
S=3.93