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Question

If each entry of a data is decreased by 8, what is the change in the arithmetic mean?

A
Remains the same
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B
Decreases by 8
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C
Increases by 8
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D
Can't be determined
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Solution

The correct option is B Decreases by 8
Let the mean be x and number of data be n
Sum of data =xn
After decreasing 8 from each data, Sum =xn8n
New mean =xn8nn=x8
New mean is decreased by 8
(AnsB)

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