The
mean
of
to observations
is 18 if
each observation is
multiplyied by
2 and
added 3. The

1 thought on “The<br />mean<br />of<br />to observations<br />is 18 if<br />each observation is<br />multiplyied by<br />2 and<br />added 3. The”

1. Step-by-step explanation:

   Given:–

   The mean of two observations is 18.

   To find:–

   If each observation is multiplyied by 2 and added 3. Then What is the mean?

   Solution:–

   Given observations = 2

   Number of observations = 2

   Mean = 18

   Let the two observations are x1 and x2

   Mean = Sum of all observations / Number of all observations

   =>(x1+x2)/2 = 18

   =>x1+x2 = 18×2

   x1+x2 = 36 —————(1)

   If each observation is multiplied by 2 and added 3 then they becomes 2×1+3 and 2×2+3

   Mean = Sum of all observations / Number of all observations

   =>Mean = (2×1+3 + 2×2+3)/2

   =>Mean = (2×1+2×2+6)/2

   =>Mean = 2(x1+x2+3)/2

   =>Mean = x1+x2+3

   We have from (1) ,x1+x2=36

   =>Mean = 36+3

   =>Mean = 39

   Answer:–

   The new mean of the given problem is 39

   Used formulae:–

   • Mean = Sum of all observations / Number of all observations
   • If the mean of a data is N then if each observation is increased by K then the new mean is N+K
   • If the mean of a data is N then if each observation is decreased by K then the new mean is N-K
   • If the mean of a data is N then if each observation is multiplied by K then the new mean is NK
   • if the mean of a data is N then if each observation is divided by K then the new mean is N/K.

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