If the mean of 25 observations is 27 and each observation is decreased by 7, what will be the new mean?
Mean of the observation is given by –
Total number of observations = 25
Mean of 25 observation = 27 (Given)
We get
⇒ Sum of 25 observations = 27 × 25 = 675
If each observation is decreased by 7, the Sum gets affected.
New Sum = 675 – (25 × 7) = 675 – 175 = 500
Thus, new mean = 20