1.

If the arithmetic mean of 5, 4, x, x + 3, 9 and 8 is 6, find out value of x. अगर 5, 4, x, x + 3, 9

Answer»

Answer :

x = 3.5

Step-by-step explanation :

 \underline{\underline{\bf Mean:}}

       ⇒ It is the average of the numbers.

       ⇒ Add up all the terms and DIVIDE the number of terms in the DATA set.

       ⇒ The mean of x₁, x₂, x₃ ,..., xₙ

                 Mean=\frac{x_1+x_2+x_3+.....+x_n}{n}

         \boxed{\bf Mean=\frac{sum \ of \ observations}{number \ of \ observations} }

GIVEN,

 The arithmetic mean of 5, 4, x, x + 3, 9 and 8 is 6

        \bf \frac{5+4+x+x+3+9+8}{6} =6 \\\\ \frac{29+2x}{6} =6 \\\\ 29+2x=6\times6 \\\\ 29+2x=36 \\\\ 2x=36-29 \\\\ 2x=7 \\\\ x=7/2 \\\\ x=3.5

║ The value of x is 3.5



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