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(A) Statement $(1)$ is true: The mode of a grouped frequency distribution can be determined graphically using a histogram.Statement $(2)$ is true: The

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Only $(1)$ and $(2)$

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(A) Statement $(1)$ is true: The mode of a grouped frequency distribution can be determined graphically using a histogram.Statement $(2)$ is true: The median is affected by the change of scale. If each observation is multiplied by a constant $k$,the median is also multiplied by $k$.Statement $(3)$ is false: Variance is independent of the change of origin,but it is $NOT$ independent of the change of scale. If each observation is multiplied by $k$,the variance becomes $k^2$ times the original variance.Therefore,statements $(1)$ and $(2)$ are true.

Class	$0-5$	$5-10$	$10-15$	$15-20$	$20-25$	$25-30$
Frequency $(f_i)$	$3$	$4$	$7$	$11$	$2$	$5$

Class	$0-6$	$6-12$	$12-18$	$18-24$	$24-30$
Frequency	$a$	$b$	$12$	$9$	$5$

Determine which of the following statements is true: $(1)$ The mode can be calculated using a histogram. $(2)$ The median is not independent of the change of scale. $(3)$ Variance is independent of the change of origin and scale.

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Class $0-5$ $5-10$ $10-15$ $15-20$ $20-25$ $25-30$

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