Find the value of x such that the data set has the given mean. 99, 123, 105, 114, 107, x; mean 108

The value of x is 100

Step-by-step explanation:

* Lets revise how to find the missing number of the given Mean

- Add up the numbers you know.

- Set up your equation by adding the sum of the numbers plus “x”

- Divide the sum by the number of numbers given.

- Equate them by the value of the mean

- Solving for "x"

- Check the Answer

* Now lets solve the problem

- The numbers are 99 , 123 , 105 , 114 , 107

- The sum of the numbers = 99 + 123 + 105 + 114 + 107 = 548

- The equation is ⇒ (548 + x)/6 = 108 ⇒ × 6 both sides

∴ 548 + x = 648 ⇒ subtract 548 from both sides

∴ x = 100

* Now lets check the answer

- The mean = (99 + 123 + 105 + 114 + 107 + 100)/6 = 648/6 = 108

∴ The answer x = 100 is correct

* The value of x is 100

The value of X = 100

Step-by-step explanation:

Points to remember

Mean of a data set is given by,

Mean = (sum of data)/number of data

To find the value of X

It is given a data set,99, 123, 105, 114, 107, X

Sum of data set = 99 + 123 + 105 + 114 + 107 + X =  548 + X

Mean = 108

Mean =  (sum of data)/number of data

108 = (548 + X)/6

548 + X = 108 * 6 = 648

X = 648 - 548 = 100

Therefore the value of X = 100