Find the mean of the first ten even natural numbers.
What is Mean?
In statistics, in addition to the mode and median, the mean is one of the measures of central tendency. Generally stated, the mean is the average of the values in the given collection of data. It indicates that values in a certain data collection are distributed equally. The three most often used measures of central tendency are the mean, median, and mode. To get the mean, add all the values listed on a data set, then divide that total by the total number of values.
The formula to calculate the mean of the given data is provided by:
Mean = Sum of all observations / Total number of observations
What are Natural Numbers?
Natural numbers are a subset of the number system, which also contains all positive integers from 1 to infinity and is used for counting. In actuality, counting numerals are 1, 2, 3, 5, 6, 7, 8, 9, etc.
Hence, the first ten even natural numbers are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20.
Thus, the sum of all observations = 2 + 4 + 6 + 8 + 10 + 14 + 16 + 18 + 20 = 110
Also, the number of observations = 10
As we know,
Mean = Sum of observations / Total number of observations
By substituting the values in the mean formula, we get the following:
Mean = 110/10
Mean = 11
Final Answer
The mean of the first ten even natural numbers is 11.
Related Questions
What is Mean?
In statistics, in addition to the mode and median, the mean is one of the measures of central tendency. Generally stated, the mean is the average of the values in the given collection of data. It indicates that values in a certain data collection are distributed equally. The three most often used measures of central tendency are the mean, median, and mode. To get the mean, add all the values listed on a data set, then divide that total by the total number of values.
The formula to calculate the mean of the given data is provided by:
Mean = Sum of all observations / Total number of observations
What are Natural Numbers?
Natural numbers are a subset of the number system, which also contains all positive integers from 1 to infinity and is used for counting. In actuality, counting numerals are 1, 2, 3, 5, 6, 7, 8, 9, etc.
Hence, the first ten even natural numbers are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20.
Thus, the sum of all observations = 2 + 4 + 6 + 8 + 10 + 14 + 16 + 18 + 20 = 110
Also, the number of observations = 10
As we know,
Mean = Sum of observations / Total number of observations
By substituting the values in the mean formula, we get the following:
Mean = 110/10
Mean = 11
Final Answer
The mean of the first ten even natural numbers is 11.
