Question

Which set of population data is the least dispersed from its mean? 2, 3, 2, 9 4, 0, 4, 0 6, 2, 2, 2 9, 3, 5, 3.

Answer 1

The set of data 6, 2, 2, 2  will have the least dispersion from its mean.

What will be the mean?

From four sets of data, we take the mean of 6,2,2,2

$\rm mean =\dfrac{ Sum \ of\ data}{Number \ of\ data}$

So the mean will be

$\rm mean =\dfrac{ 6+2+2+2}{4}=\dfrac{12}{4} =3$

So the mean of the data (6,2,2,2) is 3 which has the least dispersion from its every data as compared to the other data

Thus the set of data 6, 2, 2, 2  will have the least dispersion from their mean.

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