Calculating the mean of a set of numbers:

To find the mean of a set of numbers, we need to add up all the numbers in the set and then divide the sum by the total number of values in the set. This will give us the average value of the set, also known as the mean.

In this case, we are given the following set of numbers: 25, 34, 30, 32, 20, 29, 27, 35. Let's calculate the mean step by step.

Step 1: Add up all the numbers:
To find the sum of the numbers in the set, we add them together:

25 + 34 + 30 + 32 + 20 + 29 + 27 + 35 = 232

Step 2: Count the total number of values:
In this case, we have 8 numbers in the set.

Step 3: Divide the sum by the total number of values:
To find the mean, we divide the sum by the total number of values:

Mean = Sum / Total number of values

Mean = 232 / 8

Step 4: Calculate the mean:
Dividing 232 by 8 gives us a mean of 29.

Therefore, the mean of the given set of numbers (25, 34, 30, 32, 20, 29, 27, 35) is 29.

Conclusion:

The mean of the given set of numbers is 29. This means that if we were to evenly distribute the values in the set, each value would be approximately 29. The mean is a useful measure of central tendency as it provides a representative value for the entire set.