Eldrick manages wildlife samples for ducks unlimited. two samples of duck populations at a migratory site are shown in the table below. which statement about the samples is true? duck pond samples sample 1 sample 2 mallard 21 mallard 8 wood duck 4 wood duck 17 green wing teal 9 green wing teal 15 american widgeon 6 american widgeon 0 eldrick can use both of these samples to find the mean frequency of each duck. eldrick should take another sample because there is too much variability in the two samples. eldrick should use only the first sample to find the mean frequency of each duck. eldrick should use only the second sample to find the mean frequency of each duck.

Eldrick should take another sample because there is too much variability in the two samples.

This would be the second option.

Hope this helps.

Solution:

If you will look at the sample,

Duck Pond Samples

Sample 1                                Sample 2

Mallard 21                                 Mallard 8

Wood Duck 4                      Wood Duck 17

Green Wing Teal 9           Green Wing Teal 15

American Widgeon 6      American Widgeon 0

There is variability in sample population.Means, Sample size of two samples  , sample 1 and sample 2 varies widely.

To find mean frequency, of each duck sample, if you will look at the samples, mean frequency can't give exact measure of the data that is of duck population of migratory site.There is huge variation between mean and each data set of Duck population.

So, among the four options given, Option (B) looks appropriate which is : Eldrick should take another sample because there is too much variability in the two samples.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: