Question

Select the statement that is FALSE. The range is never greater than the greatest value of a data set. The interquartile range is the difference between the highest and lowest values in the middle of a data set. The range is the difference between the largest and smallest values of a data set. The mean is never greater than the greatest value of a data set.

Answer 1

The interquartile range is the difference between the highest and lowest values in the middle of a data set.

Explanation:

The range is the difference between the maximum and minimum value, hence, it cannot be greater than the maximum value, which is the greatest value in a dataset, the highest value a range could have being equal to the maximum value when the minimum vlaue of the dataset is equal to 0.

The mean is the average value of a dataset, hence, it cannot be greater than the maximum value.

The interquartile range is the middle 50% or half of a dataset and not the difference between the highest and lowest middle values in the middle. It is obtained by taking the difference of the upper and lower QUARTILE.