Question

rThe number of dogs per household in a neighborhood is given in the probabilitydistribution. Find the mean and the standard deviation. Round to 1 decimal.# of Dogs012.34P(x)0.640.250.060.03.02a) What is the mean rounded to 2 decimal place?b) What is the standard deviation rounded to 2 decimal place?

Answer 1

`\mu=(x1+x1\ldots xn)/(N)`

N = Number of data

x1...xn = Samples

`s=\sqrt[]{(\sum ^n_(n\mathop=1)(y-\mu)^2)/(n-1)}`

Let's calculate first:

`\sum ^n_(n\mathop=1)yn=0.64+0.25+0.06+0.03+0.02=1`

Now:

`\sum ^n_(n\mathop=1)yn^2=(0.64)^2+(0.25)^2+(0.06)^2+(0.03)^2+(0.02)^2=0.477`

So:

`s=\sqrt[]{(0.477-((1)^2)/(5))/(5-1)}=0.2631539473\approx0.3`