The mean of the numbers 4, 8, 10, 12, and x is 10. What is the value of x? (2021

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Question: The mean of the numbers 4, 8, 10, 12, and x is 10. What is the value of x? (2021)

Options:

Correct Answer: 14

Exam Year: 2021

Solution:

Mean = (4 + 8 + 10 + 12 + x) / 5 = 10. Solving gives x = 14.

The mean of the numbers 4, 8, 10, 12, and x is 10. What is the value of x? (2021)

The mean of the numbers 4, 8, 10, 12, and x is 10. What is the value of x? (2021)

Step 1: Write down the numbers we have: 4, 8, 10, 12, and x.
Step 2: Understand that the mean (average) is calculated by adding all the numbers together and then dividing by how many numbers there are.
Step 3: Count how many numbers we have. We have 5 numbers: 4, 8, 10, 12, and x.
Step 4: Write the formula for the mean: (4 + 8 + 10 + 12 + x) / 5.
Step 5: We know the mean is 10, so we can set up the equation: (4 + 8 + 10 + 12 + x) / 5 = 10.
Step 6: Multiply both sides of the equation by 5 to get rid of the division: 4 + 8 + 10 + 12 + x = 50.
Step 7: Add the numbers on the left side: 4 + 8 = 12, 12 + 10 = 22, 22 + 12 = 34. So, we have 34 + x = 50.
Step 8: To find x, subtract 34 from both sides: x = 50 - 34.
Step 9: Calculate 50 - 34, which gives us x = 16.

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