The mean of 5, 15, 25, and x is 20. Find the value of x. (2023)

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Question: The mean of 5, 15, 25, and x is 20. Find the value of x. (2023)

Options:

Correct Answer: 30

Exam Year: 2023

Solution:

Mean = (5 + 15 + 25 + x) / 4 = 20. Solving gives x = 30.

The mean of 5, 15, 25, and x is 20. Find the value of x. (2023)

The mean of 5, 15, 25, and x is 20. Find the value of x. (2023)

Step 1: Write down the numbers we have: 5, 15, 25, 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: Since we have 4 numbers (5, 15, 25, and x), we will divide the total by 4.
Step 4: Set up the equation for the mean: (5 + 15 + 25 + x) / 4 = 20.
Step 5: Calculate the sum of the known numbers: 5 + 15 + 25 = 45.
Step 6: Substitute the sum back into the equation: (45 + x) / 4 = 20.
Step 7: To eliminate the division, multiply both sides of the equation by 4: 45 + x = 80.
Step 8: Solve for x by subtracting 45 from both sides: x = 80 - 45.
Step 9: Calculate the result: x = 35.

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