The even numbers are given by tn = 2n, giving {2, 4, 6, ...} for n = 1, 2, 3, ...
The median of an even number of data items is the mean of the middle two, which is the mean of the (100 / 2) = 50th and (100 / 2) + 1 = 51st even numbers, ie:
median = mean(2 x 50, 2 x 51)
= (2 x 50 + 2 x 51) / 2
= 2 x (50 + 51) / 2
= 50 + 51
= 101
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8 numbers, so the median is the mean average of the 4th and 5th numbers. 4th number is 86 5th number is 86 median = (86 + 86) ÷ 2 = 86.
The median of those numbers is 90.
90.5 is the median, as it is the number that is halfway between the two, or half of the total of the two numbers.
The average of the first n even numbers is n+1, so 101.The average of the first n even numbers is n+1, so 101.The average of the first n even numbers is n+1, so 101.The average of the first n even numbers is n+1, so 101.
The median of the set of data does not have to be close in value to the mean. First of all, what is the median? The median is the middle number between a set of numbers. So if you are asked what the median of a set of numbers is.... put the set of numbers in order from lowest in value to highest value. Example.... 1, 2, 3, 45, 100, 1010, 1020. In this example, what is the median, or the middle number? It's ... 45! If you want to find the mean ... add all of the numbers and divide the sum by the AMOUNT of numbers there are in the set.... the sum of the set is 2181.. and there are 7 numbers in the set. The mean is 2181 / 7 = 311. 57. You can see that 311 is not close in value to 45.