When calculating the interquartile range and we hand up with a negative number as the answer, do we disregard the negative sign

No, we do not disregard the negative sign when calculating the interquartile range. The interquartile range is calculated as the difference between the upper quartile and the lower quartile, and it represents the spread or dispersion of the middle 50% of the data. If the result is a negative number, it means that the lower quartile is higher than the upper quartile, indicating an unusual distribution of the data.