3.14 The mean serves as the balance point for any distribution because the sum of all scores, expressed as positive and negative distances from the mean, always equals zero.
(a) Show that the mean possesses this property for the following set of scores: 3, 6, 2, 0, 4.
(b) Satisfy yourself that the mean identiﬁes the only point that possesses this property. More speciﬁcally, select some other number, preferably a whole number (for convenience), and then ﬁnd the sum of all scores in Part (a) expressed as positive or negative distances from the newly selected number. This sum should not equal zero.