Question

The mean of first 20 natural numbers is

Answer 1

According to the question we have to determine the mean of the first 20 natural numbers. So, first of all we have to determine the mean of first 20 natural numbers we have to understand about the natural number which is as explained below:
Natural numbers: A natural number is an integer greater than 0. Natural numbers begin at 1 and then increment to infinity as $(1,2,3,4,5,..........,\infty )$and natural numbers are also called as counting numbers.
Now, to find the mean of the numbers we have to understand about the mean which is as explained below:
Mean: The mean or we can say that the average of a data set which can be found by adding all the given numbers in the data set and then dividing by the number of the values in the set.
Now, as explained above we have to find the sum of all the first 20 natural numbers and after that we have to count the total numbers as we know that the total numbers are 20.
Now, to find the mean we have to divide the obtained sum of 20 natural numbers with the total natural numbers.

Complete step-by-step solution:
Step 1: First of all we have to determine the first 20 natural numbers and as we have already understood about the natural numbers as explained in the solution hint. Hence, First 20 natural numbers are:
$1,2,3,4,5,..............,20$
Step 2: Now, we have to determine the sum of 20 natural numbers and as we have already obtained the natural numbers above. Hence,
Sum$\Rightarrow 1 + 2 + 3 + 4 + 5 + .......... + 20 = 210$
Step 3: Now, to find the mean as explained in the solution, hint that we have to divide the obtained sum of 20 natural numbers with the total natural numbers. Hence,
Mean $= \dfrac{{210}}{{20}}$
$= 10.5$

Hence, we have obtained the mean for the first 20 natural numbers is 10.5.

Note: Mean is basically the same as the average for the given data set in which first of all we have to determine the sum of all the given numbers or data and then we have to divide the sum by the total number of data sets.
Natural numbers do not include zero (0). In fact, $1,2,3,4,5,...,$ are also called counting numbers.