For the given box plot which measure of variability range or 1qr best represent the shape of the distribution

In this case, the interquartile range (IQR) would be the best measure of variability to represent the shape of the distribution. This is because the IQR provides a measure of the spread of the middle 50% of the data, which can give a good indication of the overall variability and shape of the distribution. The range, on the other hand, includes all of the data points and may be influenced by outliers, which can skew the representation of the distribution.