The mean of 6, 8, 10, and x is 9. What is the value of x? (2022)

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Question: The mean of 6, 8, 10, and x is 9. What is the value of x? (2022)

Options:

Correct Answer: 12

Exam Year: 2022

Solution:

Mean = (6 + 8 + 10 + x) / 4 = 9. Therefore, 24 + x = 36, so x = 12.

The mean of 6, 8, 10, and x is 9. What is the value of x? (2022)

The mean of 6, 8, 10, and x is 9. What is the value of x? (2022)

Step 1: Understand that the mean (average) is found by adding all the numbers together and then dividing by how many numbers there are.
Step 2: We have four numbers: 6, 8, 10, and x. We need to find the mean of these numbers.
Step 3: Write the formula for the mean: (6 + 8 + 10 + x) / 4 = 9.
Step 4: Multiply both sides of the equation by 4 to eliminate the division: 6 + 8 + 10 + x = 9 * 4.
Step 5: Calculate 9 * 4, which equals 36. Now the equation is: 6 + 8 + 10 + x = 36.
Step 6: Add the numbers on the left side: 6 + 8 = 14, and then 14 + 10 = 24. So, we have: 24 + x = 36.
Step 7: To find x, subtract 24 from both sides of the equation: x = 36 - 24.
Step 8: Calculate 36 - 24, which equals 12. Therefore, x = 12.

Mean Calculation – Understanding how to calculate the mean (average) of a set of numbers.
Algebraic Manipulation – Solving for an unknown variable in an equation.