the mean of 20 observation is 50 if the observation 50 is replaced by 140 what will be the new mean of the observation
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Step-by-step explanation:
We know that,
Sum of n observation = Mean × Number of observations, n
∴ Sum of 20 observations = 50 × 20 = 1000
If the observation 50 is replaced by 140, then
Sum of 20 new observations = Sum of 20 observations – 50 + 140 = 1000 – 50 + 140 = 1090
New mean = sum of 20 new observation/20 = 1090/20 = 54.5
Thus, the mean of new observations is 54.5.
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