for any distribution of scores the location identified by Z

for any distribution of scores, the location identified by Z equals plus 1 and the location identified by Z equals -1 are exactly the same distance from the mean. True or false?
for any distribution of scores, the location identified by Z equals plus 1 and the location identified by Z equals -1 are exactly the same distance from the mean. True or false?
for any distribution of scores, the location identified by Z equals plus 1 and the location identified by Z equals -1 are exactly the same distance from the mean. True or false?

Solution

FALSE. It is only valid when the distribution is normal.

 for any distribution of scores, the location identified by Z equals plus 1 and the location identified by Z equals -1 are exactly the same distance from the me

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