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.
Text Solution
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Statement(I) : It is obvious that for an ungrouped data range is not dependent on intermediate observation.
Range 
(Maximum observation - Minimum observation)
Statement (II) : It is clear that mean deviation of an ungrouped data about the median is lesser than or equal to the value of the mean deviation.
Statement (III) : Statement III is false because range of grouped data is different between lower limit of the smallest class and upper limit of the largest class.
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