Question

2. If the mean of 5 observations x, 50, 54, 46, 50 is 52 then value of x is_______​

Answer 1

Step-by-step explanation:

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Answer 2

⠀⠀▪︎⠀No. of observations = 5

⠀⠀▪︎⠀Mean of observations = 52

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As we know that, Mean is the average of the numbers.

Therefore, Formula to find mean is given by :

⠀

$\bigstar\:{\boxed{\sf{Mean = \dfrac{Sum\:of\:given\:terms}{Number\:of\:terms}}}}\\\\\\:\implies\sf \dfrac{x + 50 + 54 + 46 + 50}{5} = 52\\\\\\ :\implies\sf \dfrac{x + 200}{5} = 52\\\\\\ :\implies\sf x + 200 = 5 \times 52\\\\\\:\implies\sf x + 200 = 260\\\\\\ :\implies\sf x = 260 - 200\\\\\\ :\implies\sf{\underline{\boxed{\pmb{\frak{\pink{x = 60}}}}}}\:\bigstar$

$\qquad\therefore\:{\underline{\sf{Hence,\:value\:of\:x\:is\:{\pmb{60}}.}}}$