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If the Mean of 25 Observations is 27 and Each Observation is Decreased by 7, What Will Be New Mean? - Mathematics

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Question

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

Solution

Mean of given observations =`"sun of given observations"/" total number of observations"`
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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Chapter 9: Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive - Exercises 1

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RS Aggarwal Mathematics [English] Class 10
Chapter 9 Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive
Exercises 1 | Q 2
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