Question

the arithmetic mean of 8,7,10,X and 11 is 8.4 .Find x​

Answer 1

Answer:

(8+7+10+x+11)/5=8.4

(36+x)/5=8.4

36+x=44

x=8

Answer 2

Answer:

Value of $x$ is $6$ .

Step-by-step explanation:

To find: value of $x$ .

Given data :  arithmetic mean of $8,7,10,x$ and $11$ is $8.4$ .

Solution :

• Average is the arithmetic mean.
• It is the ratio of sum of all the numbers given in data to the total number of observations.
• Formula: $Average =\frac{\text { sum of all the observations }}{\text { total of observations }}$
• Here, sum of observations $= 8 + 7 + 10 + x + 11$

                                                     $= 36 + x$

• Total number of observations $= 5$
• Arithmetic mean = $8.4$  
• Substituting values in above formula,

          $\text { 8.4 }=\frac{36 + x}{5}$

          $8.4 \times 5 = 36 + x \\\\42 = 36 + x \\\\x = 42-36 \\\\x = 6$