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Set A consists of five different numbers; set B consists of

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Set A consists of five different numbers; set B consists of four different numbers, each of which is in set A. Is the standard deviation of set A less than the standard deviation of set B ?

(1) Set A contains five consecutive integers.

(2) The average (arithmetic mean) of set A is equal to the average (arithmetic mean) of set B.


[Reveal] Spoiler:
How do you solve statement 2 I landed on one lucky example( set A 0 10 20 30 40 and set B 0 10 30 40) and guessed it to be sufficient. Can someone provide a detailed analysis... Thanks!

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