Sequences: Consecutive Integers - Arithmetic Sequence
>$$P = \{22, \ 24, \ 26, \ 28, \ 30\}$$
>$$Q = \{2, \ 24, \ 25, \ 26, \ 27, \ 28\}$$
>$$R = \{4, \ 7, \ 10, \ 13, \ 16, \ 19\}$$
If $$p$$ is the variance of set $$P$$, $$q$$
is the variance of set $$Q$$,
and $$r$$ is the variance of set $$R$$, which of the following
must be true?
Correct.
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The greatest variance will be that of set $$Q$$ due to the
term 2, which is very far from the average of the set (you don't have
to calculate the average to see that since the other terms in the set
are 20 something, the average is also around 20).
Sets $$R$$ and $$P$$ are
arithmetic sequences. The difference between terms in $$P$$ is 2 and in $$R$$ is
3, and therefore $$R$$ is more dispersed than $$P$$.
Incorrect.
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Incorrect.
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Incorrect.
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Incorrect.
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$$p\lt q\lt r$$
$$p\lt r\lt q$$
$$q\lt r\lt p$$
$$q\lt p\lt r$$
$$r\lt q\lt p$$
