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Which two of the following statements are true?
(a) The sum of the deviations from mean (ignoring algebraic signs) is greater than the sum of the deviations from median (ignoring algebraic signs)
(b) Standard deviation is independent of change of origin and change of scale
(c) In a symmetrical distribution, mean deviation equals 4/5 of standard deviation
(d) In a symmetrical and bell shaped distribution, quartile deviation is 1/3 of standard deviation
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Eduncle Best Answer
(b) Standard Deviation is independent of change of origin but standard deviation is dependent of change of scale.
(d) In a symmetrical and bell shaped distribution (normal distribution), quartile deviation is 2/3 of standard deviation.