find the median 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7, 8, 8, 8, 8, 9

You asked:

MathBot Answer:

Given a list of numbers, the median is the number that divides the list such that half the numbers in the list are greater than or equal to the median, and half the numbers are less than or equal to the median.

Begin by listing the numbers in ascending order. Then, determine how many numbers are in the list.

\(1,1,1,1,2,2,3,3,4,4,4,4,5,5,6,7,8,8,8,8,9\)

There are $21$ numbers in this set. Since $21$ is an odd number, the median will be the number in the middle of the ordered list. You can find the position of the median by dividing $21$ by $2$ and rounding up.

\(\frac{21}{2} = 10.5\)

The median will be the number in the 11th position, so the median is $4$.