Question

If the mean of 4,x,6,9,y and 13 is 8,then x-y is

Answer 1

If the mean of 4 , x , 6 , 9 , y and 13 is 8 , then x + y = 16

Correct question : If the mean of 4 , x , 6 , 9 , y and 13 is 8 , then x + y is

Given :

The mean of 4 , x , 6 , 9 , y and 13 is 8

To find :

The value of x + y

Solution :

Step 1 of 3 :

Calculate the sum of the observations

Here the given observations are 4 , x , 6 , 9 , y and 13

Sum of the observations

= 4 + x + 6 + 9 + y + 13

= x + y + 32

Step 2 of 3 :

Form the equation to find the value of x + y

Here it is given that the mean of 4 , x , 6 , 9 , y and 13 is 8

Number of observations = 6

By the given condition

$\displaystyle \sf{ \frac{x + y + 32}{6} = 8 }$

Step 3 of 3 :

Find the value of x + y

$\displaystyle \sf{ \frac{x + y + 32}{6} = 8 }$

$\displaystyle \sf{ \implies x + y + 32 = 8 \times 6}$

$\displaystyle \sf{ \implies x + y + 32 =48 }$

$\displaystyle \sf{ \implies x + y =48 - 32 }$

$\displaystyle \sf{ \implies x + y =16 }$

Hence the value of x + y = 16

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Answer 2

The sum of the given variables would be 16

correct question

If the mean of 4,x,6,9,y and 13 is 8,then x+y is

Given

• 4,x,6,9,y and 13
• mean 8

To find

• x+y

solution

we are provided with some raw data containing to variable x and y and its mean as 8 and asked to find out the value of x+ y

step 1

we know that the mean of an observation is defined as the ratio of sum of all observation to the total number of observation.

ln our case the sum of the observation should be,

4+ x+ 6+9+y + 13

or, 32 +x +y

step 2

now there are 6 observations provided,

therefore we can write,

(32+x+y)/6 = 8

or, 32+ x+y = 48

or, x+y = 16

therefore, the sum of the given variables would be 16

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