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If the mean of 25 observations is 27 and each observation is decreased by 7, what will be new mean?

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Mean of given observations = \(\cfrac{sum \,of \,given \,observation}{total \,number \,of \,observation}\)

Mean of 25 observations = 27 

∴ Sum of 25 observations = 27 × 25 = 675 

If 7 is subtracted from every number, then the sum = 675 – (25 × 7) 

= 675 – 175 

= 500

Then, new mean = 500/25 = 20 

Thus, the new mean will be 20.

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