if the mean of 17,19,23,16 a,18 and14is17.find the value of ,
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We know that the formula to find the mean is given by :-
\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of obserbvations}}Mean=
Number of obserbvations
Sum of observations
Given : The mean of 17, 19, 23, 16, a, 18 and 14 is 17.
i.e. Mean = 17
Sum of numbers = 17+19+23+16+a+18+14=107+a
Total numbers =7
Put values in formula , we get
\begin{gathered}17=\dfrac{107+a}{7}\\\\ 7\times17=107+a\\\\ 119=107+a\\\\ a=119-107=12\end{gathered}
17=
7
107+a
7×17=107+a
119=107+a
a=119−107=12
Hence, the value of a is 12.
# Learn more :
Mean of 8 numbers is 38.4 and the mean of seven of them is 39.2 what is the eight number
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value of a = 09
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