The mean of 7, 9, 11, 13, and x is 10. Find the value of x.

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Question: The mean of 7, 9, 11, 13, and x is 10. Find the value of x.

Options:

Correct Answer: 5

Solution:

Mean = (7 + 9 + 11 + 13 + x) / 5 = 10. Solving gives x = 5.

The mean of 7, 9, 11, 13, and x is 10. Find the value of x.

The mean of 7, 9, 11, 13, and x is 10. Find the value of x.

Step 1: Write down the numbers we have: 7, 9, 11, 13, and x.
Step 2: Count how many numbers there are. We have 5 numbers in total.
Step 3: The mean (average) is given as 10.
Step 4: To find the mean, we add all the numbers together and divide by the total count of numbers (which is 5).
Step 5: Set up the equation: (7 + 9 + 11 + 13 + x) / 5 = 10.
Step 6: Multiply both sides of the equation by 5 to eliminate the division: 7 + 9 + 11 + 13 + x = 50.
Step 7: Add the numbers on the left side: 7 + 9 = 16, 16 + 11 = 27, 27 + 13 = 40. So, we have 40 + x = 50.
Step 8: To find x, subtract 40 from both sides: x = 50 - 40.
Step 9: Calculate the result: 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.