Question

Consider the following statements
$\left(1\right)$ Mode can be computed from histogram
$\left(2\right)$ Median is not independent of change of scale
$\left(3\right)$ Variance is independent of change of origin and scale.
Which of these is/are correct?

• A. $\left(1\right),\left(2\right)$ and $\left(3\right)$
• B. Only $\left(2\right)$
• C. Only $\left(1\right)$ and $\left(2\right)$
• D. Only $\left(1\right)$

Answer 1

Answer: (D)

Only $\left(1\right)$

Mode is the term which has the maximum frequency. Hence, it can be calculate using a histogram.
Median is the medium value of the terms. Hence, it is independent of the change of scale.
Variance depends on the data, if the scale changes, the data will change and variance of the data will change.