The mean of 5, 15, and x is 10. What is the value of x? (2020)

₹0.0

Question: The mean of 5, 15, and x is 10. What is the value of x? (2020)

Options:

Correct Answer: 20

Exam Year: 2020

Solution:

Mean = (5 + 15 + x) / 3 = 10. Therefore, 20 + x = 30, so x = 10.

The mean of 5, 15, and x is 10. What is the value of x? (2020)

The mean of 5, 15, and x is 10. What is the value of x? (2020)

Step 1: Understand that the mean (average) of a set of numbers is found by adding them together and then dividing by how many numbers there are.
Step 2: In this case, we have three numbers: 5, 15, and x.
Step 3: To find the mean, we add these numbers together: 5 + 15 + x.
Step 4: We know the mean is equal to 10, and there are 3 numbers, so we set up the equation: (5 + 15 + x) / 3 = 10.
Step 5: Multiply both sides of the equation by 3 to eliminate the division: 5 + 15 + x = 30.
Step 6: Combine the numbers on the left side: 20 + x = 30.
Step 7: To find x, subtract 20 from both sides: x = 30 - 20.
Step 8: 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.