Question

The mean of the numbers 5, 2x, 4 and 3 is 5. find the value of x

Answer 1

Answer: the mean is the value of all the numbers added together divided by The amount of numbers.

In this case we know we have 4 numbers and the mean is 5. Therefore we take 5 x 4=20.

Now you know that all those numbers must add up to 20.

20 - 5 - 4 - 3= 2x

8=2x

8/2=x

4=x

Step-by-step explanation:

Answer 2

Answer: If the mean of the numbers 5, $2x$, 4 and 3 is 5.So the value of x is 4.

Step-by-step explanation:

Given: The mean of the numbers 5, $2x$, 4 and 3 is 5.

To find: We have to fine the value of x.

Explanation:

Step 1: The mean of 5, $2x$,4 and 3 is 5.

Step 2:As we know the formula of Mean can be given by,

              Mean $= \frac{(x_{1} +x_{2} + x_{3} + x_{4} +............x_{n} ) }{n}$

Step 3: Here 4 numbers are given for which we have fo find mean.

             $n =4,x_{1} = 5, x_{2} = 2x, x_{3} = 4, x_{4} = 3$

Step 4:Substituting the values in above equation we have,

⇒                  $5 = \frac{(5+ 2x+4+3)}{4}$

⇒             $5$ × $4$ $= 12 + 2x$

⇒                $20 = 12 + 2x$

⇒             $-2x =12 - 20$

⇒             $-2x = -8$

⇒                 $x = \frac{-8}{-2}$

⇒                 $x = 4$

∴ If the mean of the numbers 5, $2x$, 4 and 3 is 5.So the value of x is 4.

Concept:Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers. Mean = (Sum of all the observations/Total number of observations).

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