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Descriptive Statisticshard
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The median minimizes ∑i=1n∣xi−c∣\sum_{i=1}^{n}|x_i - c|∑i=1n​∣xi​−c∣ for any constant ccc. For the dataset {3, 7, 9, 12, 15}, which statement(s) is/are true?

(1) Sum of absolute deviations from median equals 14 (2) Median = 9 (3) Sum from mean (8.4) is less than sum from median (4) When c=9c = 9c=9: ∣3−9∣+∣7−9∣+∣9−9∣+∣12−9∣+∣15−9∣=17|3-9| + |7-9| + |9-9| + |12-9| + |15-9| = 17∣3−9∣+∣7−9∣+∣9−9∣+∣12−9∣+∣15−9∣=17