Question

Based on the histogram, estimate the standard deviation of the distribution.

Answer 1

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

$S=\sqrt{\dfrac{\sum(x-\mu)}{n-1}$

Here S is standard deviation $\mu$ is mean and n is number of the data points.

Mean will be calculated as

$\mu=\dfrac{12000+10000+8000+6000+4000+2000}{8}=\dfrac{42000}{8}=5250$

Now we will calculate standard deviation from the formula

$S=\sqrt{\dfrac{\sum(x-\mu)}{n-1}$

By putting all the values we will get

$S=\sqrt{115937500}$

S=10767.42

Hence the standard deviation for the distribution will be S=10767.42

To know more about standard deviation follow

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