Concept:The range of a data set is the difference between the maximum and minimum values.Explanation:Identify the highest and lowest values in the set: 0.4,−0.4,0.3,0.47,−0.53,0.2,−0.2.The highest value is 0.47.The lowest value is −0.53.Range =highest−lowest.Range =0.47−(−0.53).Subtracting a negative is the same as addition:Range =0.47+0.53=1.0.Answer:The range is 1.0.