The mean of 4, 6, 8, and x is 7. What is the value of x?

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Question: The mean of 4, 6, 8, and x is 7. What is the value of x?

Options:

Correct Answer: 10

Solution:

Mean = (4 + 6 + 8 + x) / 4 = 7. Thus, 18 + x = 28, so x = 10.

The mean of 4, 6, 8, and x is 7. What is the value of x?

The mean of 4, 6, 8, and x is 7. What is the value of x?

Step 1: Write down the numbers we have: 4, 6, 8, and x.
Step 2: Understand that the mean (average) is found by adding all the numbers together and then dividing by how many numbers there are.
Step 3: Since we have 4 numbers (4, 6, 8, and x), we will divide the total by 4.
Step 4: Set up the equation for the mean: (4 + 6 + 8 + x) / 4 = 7.
Step 5: Calculate the sum of the known numbers: 4 + 6 + 8 = 18.
Step 6: Substitute the sum back into the equation: (18 + x) / 4 = 7.
Step 7: To eliminate the division, multiply both sides of the equation by 4: 18 + x = 7 * 4.
Step 8: Calculate 7 * 4, which equals 28: 18 + x = 28.
Step 9: To find x, subtract 18 from both sides: x = 28 - 18.
Step 10: Calculate 28 - 18, which equals 10: x = 10.

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