given the number 10,12,9,15,8 what number should be included so that the median is 11

The numbers need to be rearranged in order: 8, 9, 10, 12, 15.

To find the median, we need to find the middle number. Since there are 5 numbers in total, the middle number is the 3rd number.

So, the median is 10.

To make the median 11, we need to include a number that is greater than 10.

We can include the number 13 to make the median 11.

The new set of numbers would be: 8, 9, 10, 12, 13, 15 and the median would be 11.

To find the missing number that makes the median 11, we need to arrange the numbers in ascending order:

8, 9, 10, 12, 15

Since we have an odd number of values, the median is the middle number. In this case, the middle number is 10. To make the median 11, we need to replace the middle number (10) with 11.

Therefore, the number that should be included is 11. The new sequence will be:

8, 9, 11, 12, 15

To find the missing number that will make the median 11, we first need to list the numbers in ascending order:

8, 9, 10, 12, 15

Since there are an odd number of values in the list, the median is the middle number. In this case, the median is 10.

To make the median 11, we need to insert a number between 10 and 12.

To choose the number, we need to consider that the median separates the list into two equal halves. Currently, the list is divided into two halves with 8, 9, and 10 in the first half and 12, 15 in the second half.

To maintain this balance, we can insert a number that is either equal to or between 10 and 12. Let's choose the number 11, since it is between these two values and will result in the median becoming 11.

Therefore, you should include the number 11 in the given list to make the median 11.