the mean of 100 observation is 50. If the observation 50 is removed by 150, what will be the resulting mean.
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If one of the observation which was 50 is replaced by 150, the resulting mean will be. Solution : Hence, the resulting mean is 51.
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Solution :
Given, mean of 100 observation is 50.
Here, n=100 and x¯=100
Then, mean =Σni=1xin
∴1100×Σ100i=1xi=50⇒x100i=1i=5000……………(i)
Now, the observation 50 is replaced by 150, then Eq. (i) becomes,
Σ100i=1xi=5000−50+150=5100
∴ Resulting mean =Σ100i=1xi100=5100100=51
Hence, the resulting mean is 51.
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