A population of N=8 scores has a mean of M =20. If one score is changed from X=14to X=30 , what would be the value for the new mean.

(a + 14)/8 = 20

(a + 30)/8 = m

a + 14 = 160
a + 30 = 8m
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14 - 30 = 160 - 8m

8 m = 160 + 16 = 176
m = 176/8 = 22