Question 1072439
Hi, could you please explain this to me?

A sample of n = 8 scores has a mean of M = 20.  After one score is removed from the sample, the mean is calculated to be M = 23.  The removed score must have a value greater than 20.

ANS: F
Thanks. 
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That is incorrect.  
The total for the 8 scores is 8*20 = 160

If I remove a score, call it k, from the 8, we get    160-k as the new total of the remaining 7 scores.

Now  160-k < 140   if k>20  
and  (160-k)/7 < 140/7 (=20)  
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If k < 20,  160-k > 140 and  (160-k)/7 > 20
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So, if M=23 after removing one score, then the removed score must have been  LESS THAN 20.