The mean of 25 observation is 27 and each observation is decreased by 7 what will be the new mean. ?
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We know mean ,Mean =\xa0{tex}\\frac{\\text{Sum of given observations}}{\\text{Total number of observations}}{/tex}Mean of 25 observations = 27Therefore, Sum of 25 observations = 27\xa0{tex}\\times{/tex}\xa025 = 675If 7 is subtracted from every number, then the sum = 675 – (25\xa0{tex}\\times{/tex}\xa07){tex}= 675 – 175 = 500{/tex}Then, new mean=\xa0{tex} \\frac { 500 } { 25 } = 20{/tex}