Consider the following statements:
(a) Mode can be computed from histogram
(b) Median is not independent of change of scale
(c) Variance is independent of change of origin and scale.
Which of these is/are correct?
- Aonly (a)
- Bonly (b)
- Conly (a) and (b)
- D(a), (b) and (c)
Solution & Step-by-step Explanation
Statement (a): Mode is indeed the value corresponding to the highest frequency in a distribution, and it can be estimated using the highest bar in a histogram. Correct.
Statement (b): Median is a measure of central tendency and is affected by changes in scale. Correct.
Statement (c): Variance is independent of the change of origin, but it is not independent of the change of scale (it changes by the square of the scale factor). Incorrect.
Therefore, only (a) and (b) are correct.
Statement (b): Median is a measure of central tendency and is affected by changes in scale. Correct.
Statement (c): Variance is independent of the change of origin, but it is not independent of the change of scale (it changes by the square of the scale factor). Incorrect.
Therefore, only (a) and (b) are correct.