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If the mean of 5 observations x,x+2,x+4,x+6 and x+8 is 11, find the value of x?
Verified Answer
If the mean of 5 observations x,x+2,x+4,x+6 and x+8 is 11, find the va...
It's 9
(x+x+2+x+4+x+6+x+8)/5=11
5x+20= 55
x+4=11
x=7
now,( 7+9+11)/3= 9
This question is part of UPSC exam. View all Class 10 courses
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If the mean of 5 observations x,x+2,x+4,x+6 and x+8 is 11, find the va...
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If the mean of 5 observations x,x+2,x+4,x+6 and x+8 is 11, find the va...
Mean of 5 observations:
The given problem states that the mean of 5 observations, x, x+2, x+4, x+6, and x+8, is 11. We need to find the value of x.

Step 1: Set up the equation:
To find the value of x, we can start by finding the sum of these 5 observations. The mean of these observations is equal to the sum divided by the number of observations. So, we can set up the equation as follows:

(x + (x+2) + (x+4) + (x+6) + (x+8)) / 5 = 11

Step 2: Simplify the equation:
Let's simplify the equation by combining like terms and solving for x:

(5x + 20) / 5 = 11

5x + 20 = 55

5x = 55 - 20

5x = 35

Step 3: Solve for x:
Dividing both sides of the equation by 5, we can find the value of x:

x = 35 / 5

x = 7

Conclusion:
The value of x is 7.
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If the mean of 5 observations x,x+2,x+4,x+6 and x+8 is 11, find the value of x?
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