median

1, 2, 8, 13, 71, 115

asked by guest
on Nov 17, 2024 at 7:38 pm



You asked:

Find the median of the following data: \(1, 2, 8, 13, 71, 115\)

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.

 

\(1,2,8,13,71,115\)

 

There are $6$ numbers in this set. Since $6$ is an even number, the median will be the mean of the two numbers in the center of the ordered list. You can find the position of the median by dividing $6$ by $2$.

 

\(\frac{6}{2} = 3\)

 

The median will be in the mean of the numbers in the 3rd and 4th positions, so the median is \(\frac{8+13}{2} = \frac{21}{2} = 10.5\).

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