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Question

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


A

True

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B

False

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Solution

The correct option is B

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.


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