If the mean of the following data set is 20: 15, 18, 22, x, 25, what is the valu

If the mean of the following data set is 20: 15, 18, 22, x, 25, what is the value of x? (2019)

If the mean of the following data set is 20: 15, 18, 22, x, 25, what is the value of x? (2019)

Step 1: Write down the formula for the mean (average) of a set of numbers. The mean is calculated by adding all the numbers together and then dividing by the total count of numbers.
Step 2: Identify the numbers in the data set: 15, 18, 22, x, and 25.
Step 3: Count how many numbers are in the data set. There are 5 numbers (including x).
Step 4: Set up the equation for the mean using the formula: (15 + 18 + 22 + x + 25) / 5 = 20.
Step 5: Simplify the left side of the equation by adding the known numbers: 15 + 18 + 22 + 25 = 80. So, the equation becomes (80 + x) / 5 = 20.
Step 6: To eliminate the fraction, multiply both sides of the equation by 5: 80 + x = 100.
Step 7: Solve for x by subtracting 80 from both sides: x = 100 - 80.
Step 8: Calculate the value of x: x = 20.

Mean Calculation – Understanding how to calculate the mean (average) of a set of numbers by summing the values and dividing by the count of values.
Algebraic Manipulation – Solving for an unknown variable (x) in an equation derived from the mean calculation.