The standard deviation for the distribution will be S=10767.42
What is standard deviation?
In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values.
The formula for the calculation of standard deviation will be given by
[tex]S=\sqrt{\dfrac{\sum(x-\mu)}{n-1}[/tex]
Here S is standard deviation [tex]\mu[/tex] is mean and n is number of the data points.
Mean will be calculated as
[tex]\mu=\dfrac{12000+10000+8000+6000+4000+2000}{8}=\dfrac{42000}{8}=5250[/tex]
Now we will calculate standard deviation from the formula
[tex]S=\sqrt{\dfrac{\sum(x-\mu)}{n-1}[/tex]
By putting all the values we will get
[tex]S=\sqrt{115937500}[/tex]
S=10767.42
Hence the standard deviation for the distribution will be S=10767.42
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