The mean of 5, 10, 15, 20, and x is 12. What is the value of x?

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Question: The mean of 5, 10, 15, 20, and x is 12. What is the value of x?

Options:

Correct Answer: 5

Solution:

Mean = (5 + 10 + 15 + 20 + x) / 5 = 12.\\n\\n50 + x = 60\\n\\nx = 60 - 50 = 10.

The mean of 5, 10, 15, 20, and x is 12. What is the value of x?

The mean of 5, 10, 15, 20, and x is 12. What is the value of x?

Step 1: Write down the numbers we have: 5, 10, 15, 20, and x.
Step 2: To find the mean (average), we add all the numbers together and divide by how many numbers there are.
Step 3: There are 5 numbers in total (5, 10, 15, 20, and x).
Step 4: Add the known numbers: 5 + 10 + 15 + 20 = 50.
Step 5: Now, we can write the equation for the mean: (50 + x) / 5 = 12.
Step 6: To eliminate the division, multiply both sides of the equation by 5: 50 + x = 12 * 5.
Step 7: Calculate 12 * 5, which equals 60. So now we have: 50 + x = 60.
Step 8: To find x, subtract 50 from both sides: x = 60 - 50.
Step 9: Calculate 60 - 50, which equals 10. So, 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.