Mean of First Nine Even Natural Numbers:
To find the mean of the first nine even natural numbers, we need to first determine the sum of these numbers and then divide it by the total count.

Finding the Sum of the First Nine Even Natural Numbers:
The first nine even natural numbers are 2, 4, 6, 8, 10, 12, 14, 16, and 18. We can calculate their sum by adding these numbers together:
2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 = 90

Calculating the Mean:
After finding the sum, we divide it by the total count, which in this case is 9, to find the mean:
Mean = Sum / Count
Mean = 90 / 9
Mean = 10

Therefore, the mean of the first nine even natural numbers is 10.

Explanation:
The mean is a measure of central tendency that represents the average value of a set of numbers. In this case, we are finding the mean of the first nine even natural numbers. The even natural numbers are the positive integers divisible by 2.

To find the mean, we add up all the numbers in the set and then divide the sum by the total count of numbers. In this case, the sum of the first nine even natural numbers is 90. Dividing this sum by 9 gives us a mean of 10.

The mean is often used to represent the typical value or average of a set of numbers. In this case, the mean of 10 indicates that if we were to pick a number randomly from the set of the first nine even natural numbers, the average value would be 10.

It's important to note that the mean is sensitive to extreme values. Since the set of numbers in this case is evenly distributed, the mean accurately represents the typical value. However, if there were outliers or extreme values in the set, the mean may not accurately represent the central tendency.