Answer:
(a)Mean=9
(b)Median=9.5
(c)Mode=12
(d)Standard Deviation=2.53
Step-by-step explanation:
The sample of the number of vehicles that proceeded through the intersection after the light changed for 6 days during a 1 month period is given below:
6 12 7 12 8 9
(a)Mean
[tex]Mean=\frac{6+12+ 7+ 12+ 8+ 9}{6} \\=\frac{54}{6} \\Mean=9[/tex]
(b)Median
First, arrange in ascending order
6,7,8,9,12,12
Since we have two terms in the middle, we take the average.
[tex]Median=\frac{8+9}{2}\\Median=8.5[/tex]
(c)Mode
The mode is the number with the highest frequency. The mode number of cars is 12.
(d)Standard Deviation
[tex]S.D.=\sqrt{\dfrac{\sum_{i=1}^{n}(x-\bar{x})^2}{n-1}}[/tex]
[tex]S.D.=\sqrt\frac{(6-9)^2+(7-9)^2+(8-9)^2+(9-9)^2+(12-9)^2+(12-9)^2}{6-1}[/tex]
[tex]=\sqrt{6.4} \\S.D.=2.53[/tex]
