In spring 1994, the number of bird species in forty different oak woodland sites

Question

In spring 1994, the number of bird species in forty different oak woodland sites in California were collected. Each site was around 5 hectares in size-the equivalent of about 12 acres, or 0.019 square miles-and the sites were situated in a relatively homogeneous habitat. The numbers of bird species found in these sites are listed below: 37, 21, 26, 27, 21, 21, 28, 22, 22, 26 47, 26, 29, 34, 28, 25, 19, 32, 32, 29 29, 16, 21, 24, 37, 38, 30, 20, 23, 30 27, 32, 17, 24, 32, 29, 40, 31, 38, 35 Let X be the number of species in a randomly chosen site. Using technology, compute the mean and standard deviation of X.

Explanation / Answer

It says "using technology"...

So, we can just plug and chug into the calculator and get the answers

Mean :

WE will add all those and divide by 40 cuz we have 40 values given to us

When we do this, we get mean = 28.125

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Std dev :

For this, first we find the deviations of eachvalue from the mean.

Then we square these deviations and then add those up

Then divide by 40

And then square root

Using technology, we have :

std-dev = 6.78304

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