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The mean of a data set of 12 p observations is 19.25.If one more value is included in the data then the new data with 13 observations,mean becomes 20?
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The mean of a data set of 12 p observations is 19.25.If one more value...
Let the total of first 12 observations be T and the 13th observation be X.
Then,
Mean of 12 observations = 19.25
=> T/n = 19.25
=> T/12 = 19.25
=> T = 19.25 * 12
=> T = 231 . .  (i).
So,
New Total = T + 13th Observation = T + X.
And,
New Mean = 20
=> New Total / 13 = 20
=> (T+X) / 13 = 20
=> T + X = 20 * 13
=> 231 + X = 260 [Using Equation (i)]
=> X = 260 - 231
=> X = 29
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The mean of a data set of 12 p observations is 19.25.If one more value is included in the data then the new data with 13 observations,mean becomes 20?
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