Answer:
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
