1. arrange the numbers in ascending numerical order:
{ 72, 80, 80, 82, 88, 90, 96}.
2. Find the median, which is the middle number of the list. In the given case, the middle number of 7 number is the fourth, namely 82.
{ 72, 80, 80, 82, 88, 90, 96}
3. Find the first quartile:
Disregard the median and numbers higher than the median. For the remaining numbers, repeat step number 2, this is the first quartile. (80)
{ 72, 80, 80 ...}.
4. Find the third quartile: repeat step 3 using the upper half of the list of numbers.
{ ... 88, 90, 96}.
5. We should end up with the data set as follows:
{ 72, 80, 80, 82, 88, 90, 96}.
The inner quartile range is the difference between the third and the fisrt quartiles, namely 90-80=10 in the given case.
Note that there are specific procedures for finding the median when there the number of numbers is even.
Can someone show me how to calculate the inner quartile range for the data set given? { 72, 80, 80, 82, 88, 90, 96}. Thanks.
2 answers
Thank you.