nathan claims that the interquartile range of a data set can never be greater than its range. does nathans…

nathan claims that the interquartile range of a data set can never be greater than its range. does nathans claim make sense or is it nonsense? select the correct answers. nathans claim makes sense. the interquartile range is the ? between the upper and lower quartiles. the upper and lower quartiles are values between the median and extreme values, so their difference will always be ? the interquartile range.

nathan claims that the interquartile range of a data set can never be greater than its range. does nathans claim make sense or is it nonsense? select the correct answers. nathans claim makes sense. the interquartile range is the ? between the upper and lower quartiles. the upper and lower quartiles are values between the median and extreme values, so their difference will always be ? the interquartile range.

Answer

Brief Explanations:

The range of a data - set is the difference between the maximum and minimum values. The inter - quartile range (IQR) is the difference between the upper quartile (Q3) and the lower quartile (Q1). Since Q1 and Q3 are values within the range of the data (between the minimum and maximum values), the difference between them (IQR) cannot be greater than the difference between the maximum and minimum values (range).

Answer:

Nathan's claim makes sense. The interquartile range is the difference between the upper and lower quartiles. The upper and lower quartiles are values between the median and extreme values, so their difference will always be less than or equal to the range.