The mean of 10, 20, 30, 40, and x is 25. What is the value of x? (2022)

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Question: The mean of 10, 20, 30, 40, and x is 25. What is the value of x? (2022)

Options:

Correct Answer: 10

Exam Year: 2022

Solution:

Mean = (10 + 20 + 30 + 40 + x) / 5 = 25. Therefore, 100 + x = 125, so x = 25.

The mean of 10, 20, 30, 40, and x is 25. What is the value of x? (2022)

The mean of 10, 20, 30, 40, and x is 25. What is the value of x? (2022)

Step 1: Write down the numbers we have: 10, 20, 30, 40, and x.
Step 2: Count how many numbers there are. We have 5 numbers in total.
Step 3: The mean (average) is given as 25.
Step 4: The formula for the mean is: (sum of all numbers) / (number of numbers).
Step 5: Plug in the numbers into the formula: (10 + 20 + 30 + 40 + x) / 5 = 25.
Step 6: Calculate the sum of the known numbers: 10 + 20 + 30 + 40 = 100.
Step 7: Rewrite the equation with the sum: (100 + x) / 5 = 25.
Step 8: To eliminate the fraction, multiply both sides by 5: 100 + x = 125.
Step 9: Solve for x by subtracting 100 from both sides: x = 125 - 100.
Step 10: Calculate the final value: x = 25.

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