The range of a data set is either less than or equal to its mean. State whether true or false.
False
Range can be greater than, less than or equal to the mean.
For e.g.:
1. Data Set = {2,10}
Range = 8
Mean = 6
Here, range is greater than mean.
2. Data Set = {3,9}
Range = 6
Mean = 6
Here, range is equal to mean.
3. Data Set ={3,5}
Range = 2
Mean = 4
Here, range is less than mean.