Answer:The range of a data set is the difference between the maximum and minimum values. In this case, the maximum value is 10.5 and the minimum value is 8.5. Therefore, the range of the data set is 2 1.
The interquartile range (IQR) is a measure of variability based on dividing a data set into quartiles. The IQR is defined as the difference between the third quartile (Q3) and the first quartile (Q1). To calculate Q1 and Q3, we need to order the data set from smallest to largest values. The ordered data set is: 8.5, 9.0, 9.5, 9.5, 10.0, 10.5.
Q1: The median of the lower half of the data set is 9.0.
Q3: The median of the upper half of the data set is 10.5.
Therefore, the IQR of this data set is 1.5 1.
Explanation: