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

Practice Questions

Q1
The mean of the numbers 4, 8, 12, and x is 10. What is the value of x?
  1. 10
  2. 12
  3. 16
  4. 20

Questions & Step-by-Step Solutions

The mean of the numbers 4, 8, 12, and x is 10. What is the value of x?
  • Step 1: Write down the numbers we have: 4, 8, 12, 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, 8, 12, and x), we will divide the total by 4.
  • Step 4: Set up the equation for the mean: (4 + 8 + 12 + x) / 4 = 10.
  • Step 5: Multiply both sides of the equation by 4 to get rid of the division: 4 + 8 + 12 + x = 10 * 4.
  • Step 6: Calculate 10 * 4, which equals 40. Now we have: 4 + 8 + 12 + x = 40.
  • Step 7: Add the numbers on the left side: 4 + 8 = 12, and then 12 + 12 = 24. So, we have: 24 + x = 40.
  • Step 8: To find x, subtract 24 from both sides: x = 40 - 24.
  • Step 9: Calculate 40 - 24, which equals 16. Therefore, x = 16.
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