>$$P = \{22, \ 24, \ 26, \ 28, \ 30, \ 32\}$$
>$$Q = \{2, \ 24, \ 25, \ 26, \ 27, \ 28\}$$
>$$R = \{4, \ 7, \ 10, \ 13, \ 16, \ 19\}$$
If $$p$$ is the standard deviation of set $$P$$, $$q$$ is the standard deviation of set $$Q$$, and $$r$$ is the standard deviation of set $$R$$, then which of the following must be true?

Incorrect.
[[snippet]]
The greatest standard deviation 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).

Incorrect.
[[snippet]]
The greatest standard deviation 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).

Incorrect.
[[snippet]]
The greatest standard deviation 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).

Correct.
[[snippet]]
The greatest standard deviation 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 sets. The difference between terms in $$P$$ is 2, and in $$R$$ the difference between terms is 3, and therefore $$R$$ is more dispersed than $$P$$.

$$p \lt q \lt r$$

$$p \lt r \lt q$$

$$q \lt r \lt p$$

$$q \lt p \lt r$$

$$r \lt q \lt p$$