Question

The arithmetic mean of 1,3,5,6,x,10 is 6. the value of x is

Answer 1

1+3+5+6+x+10/6=6

25+x/6=6

X=36-25

x=11

Answer 2

The value of x is 11.

Step-by-step explanation:

• The arithmetic mean also known as the average can be found by combining all the series of numbers and dividing it by its sum.
• In the given question, they have produced the mean value and asked us to find the x.
• Therefore using the definition of mean, we can find the value of x.  
• From the statement, $\frac{sum\\of\\the\\numbers}{totalcount of the numbers}$ $= mean$.

         $\frac{1+3+5+6+x+10}{6} = 6$

         $1+3+5+6+x+10 = 36$

         $x+25=36$

         $x=11.$

• Hence the answer is 11.