a) standard deviation of the scores of the monthly home run totals in the player’s rookie season will be 1.29
b) The standard deviation of the scores of the monthly home run totals in this season will be 2.738
What is standard deviation?
Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.
a)The standard deviation of the scores of the monthly home run totals in the player’s rookie season:-
The data from the graph will be
1,0,6,2,0,2
Standard deviation is calculated as:-
[tex]\sigma = \dfrac{\sqrt{\sum(x-\mu)^2}}{N}}[/tex]
[tex]\mu = \dfrac{1+0+6+2+0+3}{6}=2[/tex]
Putting the values we get
[tex]\sigma = \dfrac{\sqrt{(1-2)^2+(0-2)^2+(2-2)^2+(0-2)^2+(3-2)^2}}{6}}=1.29[/tex]
Hence standard deviation is 1.29
b)The standard deviation of the scores of the monthly home run totals in this season
The data from the graph will be
4,6,4,8,7,13
Standard deviation is calculated as:-
[tex]\sigma = \dfrac{\sqrt{\sum(x-\mu)^2}}{N}}[/tex]
[tex]\mu = \dfrac{4+6+4+8+7+13}{6}=7[/tex]
Putting the values we get
[tex]\sigma = \dfrac{\sqrt{(4-7)^2+(6-7)^2+(4-7)^2+(8-7)^2+(7-7)^2+(7-13)^2}}{6}}=2.738[/tex]
Hence standard deviation is 2.738
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