Question

Fill in the blanks.
(i) The standard deviation of a data is P of any change in origin, Put is Qon the change of scale.
(ii) The sum of squares of the deviations of the values of the variable is R when taken about their arithmetic mean.
(iii) The mean deviation of the data is S when measured from the median.
(iv) The standard deviation is T to the mean deviation taken from the arithmetic mean.

	P	Q	R	S	T
(a)	independent $\,$	dependent $\,$	minimum $\,$	least $\,$	greater than or equal $\,$
(b)	dependent $\,$	independent $\,$	minimum $\,$	least $\,$	greater $\,$
(c)	independent $\,$	dependent $\,$	minimum $\,$	least $\,$	equal $\,$
(d)	independent $\,$	dependent $\,$	maximum $\,$	least $\,$	equal $\,$

• A. a
• B. b
• C. c
• D. d

Answer 1

Answer: (A)

(i) The standard deviation of a data is independent of any change in origin, but is dependent on change of scale.
(ii) The sum of the squares of the deviations of the values of the variable is minimum when taken about their arithmetic mean.
(iii) The mean deviation of the data is least when measured from the median.
(iv) The $S.D.$ is greater than or equal to the mean deviation taken from the arithmetic mean.