The mean of the data set comprising of 16 observations is 16. If one of the observation valued 1 is deleted and three new observations valued 3, 4 and 5 areadded· to the data, then the mean of the resultant data is,

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The mean of the data set comprising of $16$ observations is $16 .$ If one of the observation valued $1$ is deleted and three new observations valued $3, 4$ and $5$ are
added· to the data, then the mean of the resultant data is,

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16.8

16.0

14.0

$15.8$

answer is B.

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Detailed Solution

Given, $\sum x_{i} = 256$

Now sum of all observations

$= (256 - 16) + (3 + 4 + 5) = 240 + 12 = 252$

Also, the number of observations now become, $18 .$

Hence, new mean $= \frac{252}{18} = 14$

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