Answer: a. 3.59
Step-by-step explanation:
Given : Six students from a statistics class reported the number of hours of television they watch per week.
x : 8, 10, 5, 14, 3, 6.
n= 6
Mean =
[tex]\overline{x}=\dfrac{\sum x}{n}\\\\=\dfrac{46}{6}\approx7.7[/tex]
[tex]\sum (x-\overline{x})^2=(0.3)^2+(2.3)^2+(-2.7)^2+(6.3)^2+(-4.7)^2+(-1.7)^2=77.34[/tex]
Standard deviation of sample = [tex]s=\sqrt{\dfrac{\sum(x-\overline{x})^2}{n}}[/tex]
[tex]=\sqrt{\dfrac{77.34}{6}}=\sqrt{12.89}\approx 3.59[/tex]
Hence, the standard deviation of the number of hours of television watched per week for this sample of six students is 3.59.
Thus , the correct option is a. 3.59
