Question

Find the mean of the first six even natural numbers?

Answer 1

Hint:
Here, we have to find the first six even numbers. Even numbers are any integer that can be divided exactly by 2. So, we have to write the first six even numbers and apply the formula to find out the mean of the first six even numbers. Mean is equal to the ratio of sum of the total numbers and total count of the numbers.
Formula used:
\[{\text{mean = }}\dfrac{{{\text{sum of the numbers}}}}{{{\text{count of the numbers}}}}\]

Complete step by step solution:
So, the first six even numbers are 2, 4, 6, 8, 10, 12.
Thus applying the formula of mean, \[{\text{mean = }}\dfrac{{{\text{sum of the numbers}}}}{{{\text{count of the numbers}}}}\]
\[{\text{mean = }}\dfrac{{2 + 4 + 6 + 8 + 10 + 12}}{6} = \dfrac{{42}}{6} = 7\]

Therefore, 7 is the mean of the first six even numbers.

Note:
We should know the meaning of
1) Even numbers are any integer that can be divided exactly by 2 is an even number. The last digit is 0, 2, 4, 6 or 8. An even number is an integer which takes the form \[{\text{n}} = 2{\text{k}}\], where k is an integer.
2) Odd numbers are the numbers that cannot be divided by two (2). They are integers and not fractions. An odd number is an integer which takes the form \[{\text{n}} = 2{\text{k}} + 1\], where k is an integer.
3) Mean is equal to the ratio of sum of the total numbers and total count of the numbers. Mean is also known as the average of the numbers.
4) Mode is the most common or most repeating number in the given data.
5) Median is the middle value of the given list of numbers or it is the value which is separating the data into two halves i.e. upper half and lower half.