Question

B. If the mean of x, x + 2, x +4, x + 6, x+8 is 24, find x.
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Answer 1

Answer:

20

Step-by-step explanation:

Formula to find mean = sum of observations /number of observations

24 = x + x+2 + x+4 + x+6 + x+8 / 5

24*5 = 5x + 20

120= 5x + 20

x=  20

hope this is helpful

Answer 2

Answer:

∴ The required value of $x$ is $20$.  

Step-by-step explanation:

• In context with the question asked,
• We have to find the value of $x$.
• It is given that, the mean of numbers $x,x+2, x+4,x+6$ and $x+8 = 24$
• Mean of the numbers is the average of those numbers.
• It is the ratio of sum of all observations or numbers by the number of observations.
• It is calculated by the following formula,

     Mean = $\frac{x+x+2+x+4+x+6+x+8 }{5}$

        ∴ $24=\frac{5x+20}{5}$

• Transposing $5$ to other side, we get

      ∴ $5x+20=24\times 5$

      ∴ $5x+20=120$

• Transposing $20$ to other side, we get

           ∴ $5x=120-20$    

           ∴ $5x=100$

• Transposing $5$ to other side, we get

            ∴ $x=\frac{100}{5}$

            ∴ $x=20$        

• ∴ The required value of $x$ is $20$.