
Find the mean of the first six even natural numbers?
Answer
552.9k+ views
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.
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.
Recently Updated Pages
Master Class 11 Chemistry: Engaging Questions & Answers for Success

Master Class 12 English: Engaging Questions & Answers for Success

Master Class 12 Social Science: Engaging Questions & Answers for Success

Master Class 12 Chemistry: Engaging Questions & Answers for Success

If overrightarrow a overrightarrow b overrightarrow class 12 maths CBSE

If a b and c are unit coplanar vectors then left 2a class 12 maths CBSE

Trending doubts
Who composed the song Vande Mataram A RabindraNath class 10 social science CBSE

Why is there a time difference of about 5 hours between class 10 social science CBSE

The revolutionary who died after 63 days of the hunger class 10 social science CBSE

The slogan of Bande Mataram was first adopted during class 10 social science CBSE

Why is Sardar Vallabhbhai Patel called the Iron man class 10 social science CBSE

Write a letter to the principal requesting him to grant class 10 english CBSE

