Statement $(I)$: The range of the ungrouped data does not change even if certain intermediate observations are removed.
Statement $(II)$: The value of the mean deviation of an ungrouped data about the median is always less than or equal to the value of the mean deviation computed about any other measure of central tendency.
Statement $(III)$: For a grouped data,range is approximated as the difference between the lower limit of the largest class and the upper limit of the smallest class.

• A
  Statements $I$ and $II$ are true but statement $III$ is false
• B
  Statements $II$ and $III$ are true but statement $I$ is false
• C
  Statements $III$ and $I$ are true but statement $II$ is false
• D
  Statements $I$,$II$ and $III$ are true