Math, asked by kk2889760, 1 month ago

average que of maths​

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Answered by EuphoricBunny
20

☘️ Question :

  • The average of given data 6, 10, 12, x, 16 is 14, find the value of x.

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☘️ Solution :

As we know,

\sf \: Average \:  =  \:   \pink{\frac{Total~sum~of~the~numbers}{Total~number} }\\

So,

\sf \implies \: 14 =  \frac{6  \: + \:  10 \:  +  \: 12 \:  + \:  x \:  +  \: 16}{5} \\   \\ \sf \implies \:14 =  \frac{44 + x}{5}  \\  \\  \sf \implies \: 14 \times 5 =  44 \:  +  \: x  \\  \\ \sf \implies70  - 44= x \\  \\ \sf \implies26 = x \\  \\   \large \boxed{ \purple {\therefore\tt \:   x \:  = 26 \: }}\\

Therefore, the value of x = 26.

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☘️ Answer :

  • Value of x = 26.
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