Consider the following statements:(i) Mode can be computed from the histogram (ii) Median is not independent of change of scale (iii) Variance is independent of change of origin and scale Which of these is/are correct?

Consider the following statements:

(i) Mode can be computed from the histogram 

(ii) Median is not independent of change of scale 

(iii) Variance is independent of change of origin and scale 

Which of these is/are correct?

  1. A

    (i), (ii) and (iii)

  2. B

    only (ii)

  3. C

    only (i) and (ii)

  4. D

    only (i)

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    Solution:

    Mode can be computed from the histogram by drawing two lines diagonally in the inside of the modal class bar, starting from each upper corner of the bar to the upper corner of the adjacent bar. The foot of the perpendicular from the point of intersection of these two lines gives the mode. So, option (i) is correct.

    Median is not independent of change of origin and scale.

    So, option (ii) is correct. 

    Variance is independent of change of origin but not of scale. 

    So, option (iii) is not correct.

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