Question
The range of a data set is either less than or equal to its mean. State whether true or false.
Answer: Option B
:
B
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.
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:
B
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.
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