Question

What’s the median of 14 14 15 17 21 21 22 23

Answer 1

19

Explanation:

To get to the middle, you look for the number in the middle of the entire set. The amount of numbers present in the set is 8, so there won't be just one number in the middle, there will be two.

Remember, if the amount numbers in the set is even, there will be two medians. If odd, there will be only one median.

Now, to get to the medians, you have to cross off a number at each side one by one. So, you can start at the left side or the right side as long as it is left, right, left, right... or right, left, right, left...

I like to start from the left so first, I cross out 14, then 23, then the second 14, then 22, then, 15, then 21, leaving only 17 and the other 21 standing since crossing them out would leave you with no median.

To get to only one number, however, you need to add the numbers, then divide by 2 (kinda like when you want to get to the mean)

17 + 21 = 38 / 2 = 19

Hope this helps :)

Answer 2

The median is the numeric value separating the upper half of a sample data set from the lower half. The median of a data set can be found by arranging all the values from lowest to highest value and picking the one in the middle. If there is an odd number of data values then the median will be the value in the middle. If there is an even number of data values the median is the mean of the two data values in the middle.

For the data set 14 14 15 17 21 21 22 23 first order the numbers from least to greatest.

Since its already in order move on to the next step, find the number that is in the middle. The number should be between 17 and 21

so we write the numbers between them.

17 18 19 20 21

and the middle number is 19

so that is the answer 19